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Finding the Fourth Proportional to 74,178.66, 102,370.65 and 42,357.78

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Solution

The fourth proportional to 74,178.66, 102,370.65 and 42,357.78 is: 58,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,178.66 : 102,370.65 = 42,357.78 : x
  2. Step 2: Convert to fraction form
    74,178.66/102,370.65 = 42,357.78/x
  3. Step 3: Cross multiply
    74,178.66x = 102,370.65 × 42,357.78
  4. Step 4: Simplify right side
    74,178.66x = 4,336,193,471.16
  5. Step 5: Solve for x
    x = 4,336,193,471.16/74,178.66
  6. Step 6: Final answer
    x = 58,456.08

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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.