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Finding the Fourth Proportional to 102,357.38, 153,432.05 and 42,418.46

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Solution

The fourth proportional to 102,357.38, 153,432.05 and 42,418.46 is: 63,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.38 : 153,432.05 = 42,418.46 : x
  2. Step 2: Convert to fraction form
    102,357.38/153,432.05 = 42,418.46/x
  3. Step 3: Cross multiply
    102,357.38x = 153,432.05 × 42,418.46
  4. Step 4: Simplify right side
    102,357.38x = 6,508,351,275.64
  5. Step 5: Solve for x
    x = 6,508,351,275.64/102,357.38
  6. Step 6: Final answer
    x = 63,584.58

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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.