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Finding the Fourth Proportional to 151,134.75, 208,565.94 and 83,150.28

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Solution

The fourth proportional to 151,134.75, 208,565.94 and 83,150.28 is: 114,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,134.75 : 208,565.94 = 83,150.28 : x
  2. Step 2: Convert to fraction form
    151,134.75/208,565.94 = 83,150.28/x
  3. Step 3: Cross multiply
    151,134.75x = 208,565.94 × 83,150.28
  4. Step 4: Simplify right side
    151,134.75x = 17,342,316,309.46
  5. Step 5: Solve for x
    x = 17,342,316,309.46/151,134.75
  6. Step 6: Final answer
    x = 114,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.