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Finding the Fourth Proportional to 130,264.16, 195,294.17 and 51,437.39

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Solution

The fourth proportional to 130,264.16, 195,294.17 and 51,437.39 is: 77,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,264.16 : 195,294.17 = 51,437.39 : x
  2. Step 2: Convert to fraction form
    130,264.16/195,294.17 = 51,437.39/x
  3. Step 3: Cross multiply
    130,264.16x = 195,294.17 × 51,437.39
  4. Step 4: Simplify right side
    130,264.16x = 10,045,422,387.02
  5. Step 5: Solve for x
    x = 10,045,422,387.02/130,264.16
  6. Step 6: Final answer
    x = 77,115.78

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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.