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Finding the Fourth Proportional to 200,227,801.60, 300,341,702.40 and 85,183,436.80

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Solution

The fourth proportional to 200,227,801.60, 300,341,702.40 and 85,183,436.80 is: 127,775,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,227,801.60 : 300,341,702.40 = 85,183,436.80 : x
  2. Step 2: Convert to fraction form
    200,227,801.60/300,341,702.40 = 85,183,436.80/x
  3. Step 3: Cross multiply
    200,227,801.60x = 300,341,702.40 × 85,183,436.80
  4. Step 4: Simplify right side
    200,227,801.60x = 25,584,138,424,794,804
  5. Step 5: Solve for x
    x = 25,584,138,424,794,804/200,227,801.60
  6. Step 6: Final answer
    x = 127,775,155.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.