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Finding the Fourth Proportional to 151,939.38, 209,678.56 and 83,957.93

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Solution

The fourth proportional to 151,939.38, 209,678.56 and 83,957.93 is: 115,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,939.38 : 209,678.56 = 83,957.93 : x
  2. Step 2: Convert to fraction form
    151,939.38/209,678.56 = 83,957.93/x
  3. Step 3: Cross multiply
    151,939.38x = 209,678.56 × 83,957.93
  4. Step 4: Simplify right side
    151,939.38x = 17,604,176,814.59
  5. Step 5: Solve for x
    x = 17,604,176,814.59/151,939.38
  6. Step 6: Final answer
    x = 115,863.16

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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.