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Finding the Fourth Proportional to 132,583.40, 198,656.40 and 112,900.40

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Solution

The fourth proportional to 132,583.40, 198,656.40 and 112,900.40 is: 169,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,583.40 : 198,656.40 = 112,900.40 : x
  2. Step 2: Convert to fraction form
    132,583.40/198,656.40 = 112,900.40/x
  3. Step 3: Cross multiply
    132,583.40x = 198,656.40 × 112,900.40
  4. Step 4: Simplify right side
    132,583.40x = 22,428,387,022.56
  5. Step 5: Solve for x
    x = 22,428,387,022.56/132,583.40
  6. Step 6: Final answer
    x = 169,164.37

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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.