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Finding the Fourth Proportional to 132,362.40, 198,543.60 and 106,118.40

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Solution

The fourth proportional to 132,362.40, 198,543.60 and 106,118.40 is: 159,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,362.40 : 198,543.60 = 106,118.40 : x
  2. Step 2: Convert to fraction form
    132,362.40/198,543.60 = 106,118.40/x
  3. Step 3: Cross multiply
    132,362.40x = 198,543.60 × 106,118.40
  4. Step 4: Simplify right side
    132,362.40x = 21,069,129,162.24
  5. Step 5: Solve for x
    x = 21,069,129,162.24/132,362.40
  6. Step 6: Final answer
    x = 159,177.60

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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.