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Finding the Fourth Proportional to 174,461.30, 261,691.95 and 156,965.30

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Solution

The fourth proportional to 174,461.30, 261,691.95 and 156,965.30 is: 235,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,461.30 : 261,691.95 = 156,965.30 : x
  2. Step 2: Convert to fraction form
    174,461.30/261,691.95 = 156,965.30/x
  3. Step 3: Cross multiply
    174,461.30x = 261,691.95 × 156,965.30
  4. Step 4: Simplify right side
    174,461.30x = 41,076,555,439.34
  5. Step 5: Solve for x
    x = 41,076,555,439.34/174,461.30
  6. Step 6: Final answer
    x = 235,447.95

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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.