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Finding the Fourth Proportional to 159,204.78, 238,815.77 and 40,877.15

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Solution

The fourth proportional to 159,204.78, 238,815.77 and 40,877.15 is: 61,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,204.78 : 238,815.77 = 40,877.15 : x
  2. Step 2: Convert to fraction form
    159,204.78/238,815.77 = 40,877.15/x
  3. Step 3: Cross multiply
    159,204.78x = 238,815.77 × 40,877.15
  4. Step 4: Simplify right side
    159,204.78x = 9,762,106,654.19
  5. Step 5: Solve for x
    x = 9,762,106,654.19/159,204.78
  6. Step 6: Final answer
    x = 61,317.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.