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Finding the Fourth Proportional to 130,803.14, 180,502.89 and 74,217.62

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Solution

The fourth proportional to 130,803.14, 180,502.89 and 74,217.62 is: 102,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,803.14 : 180,502.89 = 74,217.62 : x
  2. Step 2: Convert to fraction form
    130,803.14/180,502.89 = 74,217.62/x
  3. Step 3: Cross multiply
    130,803.14x = 180,502.89 × 74,217.62
  4. Step 4: Simplify right side
    130,803.14x = 13,396,494,898.92
  5. Step 5: Solve for x
    x = 13,396,494,898.92/130,803.14
  6. Step 6: Final answer
    x = 102,417.23

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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.