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Finding the Fourth Proportional to 277,133.46, 415,701.05 and 77,452.53

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Solution

The fourth proportional to 277,133.46, 415,701.05 and 77,452.53 is: 116,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,133.46 : 415,701.05 = 77,452.53 : x
  2. Step 2: Convert to fraction form
    277,133.46/415,701.05 = 77,452.53/x
  3. Step 3: Cross multiply
    277,133.46x = 415,701.05 × 77,452.53
  4. Step 4: Simplify right side
    277,133.46x = 32,197,098,046.16
  5. Step 5: Solve for x
    x = 32,197,098,046.16/277,133.46
  6. Step 6: Final answer
    x = 116,179.04

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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.