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Finding the Fourth Proportional to 232,493.76, 320,836.80 and 130,521.60

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Solution

The fourth proportional to 232,493.76, 320,836.80 and 130,521.60 is: 180,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,493.76 : 320,836.80 = 130,521.60 : x
  2. Step 2: Convert to fraction form
    232,493.76/320,836.80 = 130,521.60/x
  3. Step 3: Cross multiply
    232,493.76x = 320,836.80 × 130,521.60
  4. Step 4: Simplify right side
    232,493.76x = 41,876,132,474.88
  5. Step 5: Solve for x
    x = 41,876,132,474.88/232,493.76
  6. Step 6: Final answer
    x = 180,117.23

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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.