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Finding the Fourth Proportional to 145,196.31, 217,802.67 and 51,702.06

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Solution

The fourth proportional to 145,196.31, 217,802.67 and 51,702.06 is: 77,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,196.31 : 217,802.67 = 51,702.06 : x
  2. Step 2: Convert to fraction form
    145,196.31/217,802.67 = 51,702.06/x
  3. Step 3: Cross multiply
    145,196.31x = 217,802.67 × 51,702.06
  4. Step 4: Simplify right side
    145,196.31x = 11,260,846,712.50
  5. Step 5: Solve for x
    x = 11,260,846,712.50/145,196.31
  6. Step 6: Final answer
    x = 77,556.01

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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.