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Finding the Fourth Proportional to 277,098.60, 415,691.46 and 90,066.36

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Solution

The fourth proportional to 277,098.60, 415,691.46 and 90,066.36 is: 135,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,098.60 : 415,691.46 = 90,066.36 : x
  2. Step 2: Convert to fraction form
    277,098.60/415,691.46 = 90,066.36/x
  3. Step 3: Cross multiply
    277,098.60x = 415,691.46 × 90,066.36
  4. Step 4: Simplify right side
    277,098.60x = 37,439,816,685.29
  5. Step 5: Solve for x
    x = 37,439,816,685.29/277,098.60
  6. Step 6: Final answer
    x = 135,113.70

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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.