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Finding the Fourth Proportional to 102,377.12, 153,565.70 and 40,003.88

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Solution

The fourth proportional to 102,377.12, 153,565.70 and 40,003.88 is: 60,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,377.12 : 153,565.70 = 40,003.88 : x
  2. Step 2: Convert to fraction form
    102,377.12/153,565.70 = 40,003.88/x
  3. Step 3: Cross multiply
    102,377.12x = 153,565.70 × 40,003.88
  4. Step 4: Simplify right side
    102,377.12x = 6,143,222,867.07
  5. Step 5: Solve for x
    x = 6,143,222,867.07/102,377.12
  6. Step 6: Final answer
    x = 60,005.82

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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.