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Finding the Fourth Proportional to 185,646.25, 278,474.84 and 45,404.88

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Solution

The fourth proportional to 185,646.25, 278,474.84 and 45,404.88 is: 68,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,646.25 : 278,474.84 = 45,404.88 : x
  2. Step 2: Convert to fraction form
    185,646.25/278,474.84 = 45,404.88/x
  3. Step 3: Cross multiply
    185,646.25x = 278,474.84 × 45,404.88
  4. Step 4: Simplify right side
    185,646.25x = 12,644,116,693.22
  5. Step 5: Solve for x
    x = 12,644,116,693.22/185,646.25
  6. Step 6: Final answer
    x = 68,108.66

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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.