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Finding the Fourth Proportional to 136,920.54, 205,292.92 and 57,013.90

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Solution

The fourth proportional to 136,920.54, 205,292.92 and 57,013.90 is: 85,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,920.54 : 205,292.92 = 57,013.90 : x
  2. Step 2: Convert to fraction form
    136,920.54/205,292.92 = 57,013.90/x
  3. Step 3: Cross multiply
    136,920.54x = 205,292.92 × 57,013.90
  4. Step 4: Simplify right side
    136,920.54x = 11,704,550,011.59
  5. Step 5: Solve for x
    x = 11,704,550,011.59/136,920.54
  6. Step 6: Final answer
    x = 85,484.25

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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.