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Finding the Fourth Proportional to 104,866.47, 157,168.35 and 82,591.88

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Solution

The fourth proportional to 104,866.47, 157,168.35 and 82,591.88 is: 123,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,866.47 : 157,168.35 = 82,591.88 : x
  2. Step 2: Convert to fraction form
    104,866.47/157,168.35 = 82,591.88/x
  3. Step 3: Cross multiply
    104,866.47x = 157,168.35 × 82,591.88
  4. Step 4: Simplify right side
    104,866.47x = 12,980,828,717.16
  5. Step 5: Solve for x
    x = 12,980,828,717.16/104,866.47
  6. Step 6: Final answer
    x = 123,784.36

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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.