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Finding the Fourth Proportional to 185,134.40, 277,701.60 and 177,876.80

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Solution

The fourth proportional to 185,134.40, 277,701.60 and 177,876.80 is: 266,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,134.40 : 277,701.60 = 177,876.80 : x
  2. Step 2: Convert to fraction form
    185,134.40/277,701.60 = 177,876.80/x
  3. Step 3: Cross multiply
    185,134.40x = 277,701.60 × 177,876.80
  4. Step 4: Simplify right side
    185,134.40x = 49,396,671,962.88
  5. Step 5: Solve for x
    x = 49,396,671,962.88/185,134.40
  6. Step 6: Final answer
    x = 266,815.20

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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.