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Finding the Fourth Proportional to 127,957.47, 191,542.55 and 83,488.47

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Solution

The fourth proportional to 127,957.47, 191,542.55 and 83,488.47 is: 124,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,957.47 : 191,542.55 = 83,488.47 : x
  2. Step 2: Convert to fraction form
    127,957.47/191,542.55 = 83,488.47/x
  3. Step 3: Cross multiply
    127,957.47x = 191,542.55 × 83,488.47
  4. Step 4: Simplify right side
    127,957.47x = 15,991,594,021.96
  5. Step 5: Solve for x
    x = 15,991,594,021.96/127,957.47
  6. Step 6: Final answer
    x = 124,975.85

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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.