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Finding the Fourth Proportional to 151,800.38, 209,487.56 and 83,817.48

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Solution

The fourth proportional to 151,800.38, 209,487.56 and 83,817.48 is: 115,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,800.38 : 209,487.56 = 83,817.48 : x
  2. Step 2: Convert to fraction form
    151,800.38/209,487.56 = 83,817.48/x
  3. Step 3: Cross multiply
    151,800.38x = 209,487.56 × 83,817.48
  4. Step 4: Simplify right side
    151,800.38x = 17,558,718,951.46
  5. Step 5: Solve for x
    x = 17,558,718,951.46/151,800.38
  6. Step 6: Final answer
    x = 115,669.80

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1.5x scale

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.