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Finding the Fourth Proportional to 124,138.84, 186,221.13 and 53,068.98

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Solution

The fourth proportional to 124,138.84, 186,221.13 and 53,068.98 is: 79,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,138.84 : 186,221.13 = 53,068.98 : x
  2. Step 2: Convert to fraction form
    124,138.84/186,221.13 = 53,068.98/x
  3. Step 3: Cross multiply
    124,138.84x = 186,221.13 × 53,068.98
  4. Step 4: Simplify right side
    124,138.84x = 9,882,565,423.55
  5. Step 5: Solve for x
    x = 9,882,565,423.55/124,138.84
  6. Step 6: Final answer
    x = 79,608.97

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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.