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Finding the Fourth Proportional to 142,397.18, 213,626.45 and 42,565.49

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Solution

The fourth proportional to 142,397.18, 213,626.45 and 42,565.49 is: 63,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,397.18 : 213,626.45 = 42,565.49 : x
  2. Step 2: Convert to fraction form
    142,397.18/213,626.45 = 42,565.49/x
  3. Step 3: Cross multiply
    142,397.18x = 213,626.45 × 42,565.49
  4. Step 4: Simplify right side
    142,397.18x = 9,093,114,521.21
  5. Step 5: Solve for x
    x = 9,093,114,521.21/142,397.18
  6. Step 6: Final answer
    x = 63,857.41

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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.