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Finding the Fourth Proportional to 232,597.76, 321,026.80 and 137,098.88

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Solution

The fourth proportional to 232,597.76, 321,026.80 and 137,098.88 is: 189,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,597.76 : 321,026.80 = 137,098.88 : x
  2. Step 2: Convert to fraction form
    232,597.76/321,026.80 = 137,098.88/x
  3. Step 3: Cross multiply
    232,597.76x = 321,026.80 × 137,098.88
  4. Step 4: Simplify right side
    232,597.76x = 44,012,414,729.98
  5. Step 5: Solve for x
    x = 44,012,414,729.98/232,597.76
  6. Step 6: Final answer
    x = 189,221.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.