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Finding the Fourth Proportional to 151,282.68, 208,770.12 and 83,299.92

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Solution

The fourth proportional to 151,282.68, 208,770.12 and 83,299.92 is: 114,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,282.68 : 208,770.12 = 83,299.92 : x
  2. Step 2: Convert to fraction form
    151,282.68/208,770.12 = 83,299.92/x
  3. Step 3: Cross multiply
    151,282.68x = 208,770.12 × 83,299.92
  4. Step 4: Simplify right side
    151,282.68x = 17,390,534,294.39
  5. Step 5: Solve for x
    x = 17,390,534,294.39/151,282.68
  6. Step 6: Final answer
    x = 114,953.90

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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.