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Finding the Fourth Proportional to 102,578.14, 153,887.14 and 39,393.62

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Solution

The fourth proportional to 102,578.14, 153,887.14 and 39,393.62 is: 59,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.14 : 153,887.14 = 39,393.62 : x
  2. Step 2: Convert to fraction form
    102,578.14/153,887.14 = 39,393.62/x
  3. Step 3: Cross multiply
    102,578.14x = 153,887.14 × 39,393.62
  4. Step 4: Simplify right side
    102,578.14x = 6,062,171,516.05
  5. Step 5: Solve for x
    x = 6,062,171,516.05/102,578.14
  6. Step 6: Final answer
    x = 59,098.08

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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.