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Finding the Fourth Proportional to 185,148.64, 277,535.96 and 72,907.64

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Solution

The fourth proportional to 185,148.64, 277,535.96 and 72,907.64 is: 109,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,148.64 : 277,535.96 = 72,907.64 : x
  2. Step 2: Convert to fraction form
    185,148.64/277,535.96 = 72,907.64/x
  3. Step 3: Cross multiply
    185,148.64x = 277,535.96 × 72,907.64
  4. Step 4: Simplify right side
    185,148.64x = 20,234,491,858.73
  5. Step 5: Solve for x
    x = 20,234,491,858.73/185,148.64
  6. Step 6: Final answer
    x = 109,287.82

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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.