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Finding the Fourth Proportional to 130,812.90, 180,522.18 and 74,224.14

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Solution

The fourth proportional to 130,812.90, 180,522.18 and 74,224.14 is: 102,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,812.90 : 180,522.18 = 74,224.14 : x
  2. Step 2: Convert to fraction form
    130,812.90/180,522.18 = 74,224.14/x
  3. Step 3: Cross multiply
    130,812.90x = 180,522.18 × 74,224.14
  4. Step 4: Simplify right side
    130,812.90x = 13,399,103,561.43
  5. Step 5: Solve for x
    x = 13,399,103,561.43/130,812.90
  6. Step 6: Final answer
    x = 102,429.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.