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Finding the Fourth Proportional to 130,537.17, 180,144.81 and 73,948.14

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Solution

The fourth proportional to 130,537.17, 180,144.81 and 73,948.14 is: 102,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,537.17 : 180,144.81 = 73,948.14 : x
  2. Step 2: Convert to fraction form
    130,537.17/180,144.81 = 73,948.14/x
  3. Step 3: Cross multiply
    130,537.17x = 180,144.81 × 73,948.14
  4. Step 4: Simplify right side
    130,537.17x = 13,321,373,630.15
  5. Step 5: Solve for x
    x = 13,321,373,630.15/130,537.17
  6. Step 6: Final answer
    x = 102,050.42

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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.