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Finding the Fourth Proportional to 97,801.60, 146,702.40 and 83,804.80

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Solution

The fourth proportional to 97,801.60, 146,702.40 and 83,804.80 is: 125,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801.60 : 146,702.40 = 83,804.80 : x
  2. Step 2: Convert to fraction form
    97,801.60/146,702.40 = 83,804.80/x
  3. Step 3: Cross multiply
    97,801.60x = 146,702.40 × 83,804.80
  4. Step 4: Simplify right side
    97,801.60x = 12,294,365,291.52
  5. Step 5: Solve for x
    x = 12,294,365,291.52/97,801.60
  6. Step 6: Final answer
    x = 125,707.20

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Why These Related Problems?

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