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Finding the Fourth Proportional to 136,092.96, 204,139.44 and 42,606

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Solution

The fourth proportional to 136,092.96, 204,139.44 and 42,606 is: 63,909

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,092.96 : 204,139.44 = 42,606 : x
  2. Step 2: Convert to fraction form
    136,092.96/204,139.44 = 42,606/x
  3. Step 3: Cross multiply
    136,092.96x = 204,139.44 × 42,606
  4. Step 4: Simplify right side
    136,092.96x = 8,697,564,980.64
  5. Step 5: Solve for x
    x = 8,697,564,980.64/136,092.96
  6. Step 6: Final answer
    x = 63,909

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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.