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Finding the Fourth Proportional to 142,073.40, 213,145.33 and 42,233.41

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Solution

The fourth proportional to 142,073.40, 213,145.33 and 42,233.41 is: 63,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073.40 : 213,145.33 = 42,233.41 : x
  2. Step 2: Convert to fraction form
    142,073.40/213,145.33 = 42,233.41/x
  3. Step 3: Cross multiply
    142,073.40x = 213,145.33 × 42,233.41
  4. Step 4: Simplify right side
    142,073.40x = 9,001,853,045.75
  5. Step 5: Solve for x
    x = 9,001,853,045.75/142,073.40
  6. Step 6: Final answer
    x = 63,360.58

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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.