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Finding the Fourth Proportional to 102,542.71, 153,592.62 and 100,033.13

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Solution

The fourth proportional to 102,542.71, 153,592.62 and 100,033.13 is: 149,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,542.71 : 153,592.62 = 100,033.13 : x
  2. Step 2: Convert to fraction form
    102,542.71/153,592.62 = 100,033.13/x
  3. Step 3: Cross multiply
    102,542.71x = 153,592.62 × 100,033.13
  4. Step 4: Simplify right side
    102,542.71x = 15,364,350,523.50
  5. Step 5: Solve for x
    x = 15,364,350,523.50/102,542.71
  6. Step 6: Final answer
    x = 149,833.67

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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.