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Finding the Fourth Proportional to 171,164.16, 256,691.60 and 58,817.28

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Solution

The fourth proportional to 171,164.16, 256,691.60 and 58,817.28 is: 88,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,164.16 : 256,691.60 = 58,817.28 : x
  2. Step 2: Convert to fraction form
    171,164.16/256,691.60 = 58,817.28/x
  3. Step 3: Cross multiply
    171,164.16x = 256,691.60 × 58,817.28
  4. Step 4: Simplify right side
    171,164.16x = 15,097,901,710.85
  5. Step 5: Solve for x
    x = 15,097,901,710.85/171,164.16
  6. Step 6: Final answer
    x = 88,207.14

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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.