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Finding the Fourth Proportional to 230,600.40, 345,965.40 and 112,275.60

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Solution

The fourth proportional to 230,600.40, 345,965.40 and 112,275.60 is: 168,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,600.40 : 345,965.40 = 112,275.60 : x
  2. Step 2: Convert to fraction form
    230,600.40/345,965.40 = 112,275.60/x
  3. Step 3: Cross multiply
    230,600.40x = 345,965.40 × 112,275.60
  4. Step 4: Simplify right side
    230,600.40x = 38,843,472,864.24
  5. Step 5: Solve for x
    x = 38,843,472,864.24/230,600.40
  6. Step 6: Final answer
    x = 168,444.95

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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.