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Finding the Fourth Proportional to 185,189.60, 277,456.35 and 156,977.30

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Solution

The fourth proportional to 185,189.60, 277,456.35 and 156,977.30 is: 235,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,189.60 : 277,456.35 = 156,977.30 : x
  2. Step 2: Convert to fraction form
    185,189.60/277,456.35 = 156,977.30/x
  3. Step 3: Cross multiply
    185,189.60x = 277,456.35 × 156,977.30
  4. Step 4: Simplify right side
    185,189.60x = 43,554,348,690.86
  5. Step 5: Solve for x
    x = 43,554,348,690.86/185,189.60
  6. Step 6: Final answer
    x = 235,187.88

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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.