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Finding the Fourth Proportional to 142,374.38, 213,597.27 and 42,534.18

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Solution

The fourth proportional to 142,374.38, 213,597.27 and 42,534.18 is: 63,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,374.38 : 213,597.27 = 42,534.18 : x
  2. Step 2: Convert to fraction form
    142,374.38/213,597.27 = 42,534.18/x
  3. Step 3: Cross multiply
    142,374.38x = 213,597.27 × 42,534.18
  4. Step 4: Simplify right side
    142,374.38x = 9,085,184,729.69
  5. Step 5: Solve for x
    x = 9,085,184,729.69/142,374.38
  6. Step 6: Final answer
    x = 63,811.94

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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.