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Finding the Fourth Proportional to 156,959.30, 235,438.95 and 78,227.30

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Solution

The fourth proportional to 156,959.30, 235,438.95 and 78,227.30 is: 117,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959.30 : 235,438.95 = 78,227.30 : x
  2. Step 2: Convert to fraction form
    156,959.30/235,438.95 = 78,227.30/x
  3. Step 3: Cross multiply
    156,959.30x = 235,438.95 × 78,227.30
  4. Step 4: Simplify right side
    156,959.30x = 18,417,753,373.34
  5. Step 5: Solve for x
    x = 18,417,753,373.34/156,959.30
  6. Step 6: Final answer
    x = 117,340.95

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1.5x scale

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.