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Finding the Fourth Proportional to 277,132.46, 415,699.55 and 77,451.53

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Solution

The fourth proportional to 277,132.46, 415,699.55 and 77,451.53 is: 116,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,132.46 : 415,699.55 = 77,451.53 : x
  2. Step 2: Convert to fraction form
    277,132.46/415,699.55 = 77,451.53/x
  3. Step 3: Cross multiply
    277,132.46x = 415,699.55 × 77,451.53
  4. Step 4: Simplify right side
    277,132.46x = 32,196,564,282.94
  5. Step 5: Solve for x
    x = 32,196,564,282.94/277,132.46
  6. Step 6: Final answer
    x = 116,177.53

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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.