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Finding the Fourth Proportional to 102,167.78, 153,052.41 and 57,659.90

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Solution

The fourth proportional to 102,167.78, 153,052.41 and 57,659.90 is: 86,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,167.78 : 153,052.41 = 57,659.90 : x
  2. Step 2: Convert to fraction form
    102,167.78/153,052.41 = 57,659.90/x
  3. Step 3: Cross multiply
    102,167.78x = 153,052.41 × 57,659.90
  4. Step 4: Simplify right side
    102,167.78x = 8,824,986,655.36
  5. Step 5: Solve for x
    x = 8,824,986,655.36/102,167.78
  6. Step 6: Final answer
    x = 86,377.39

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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.