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Finding the Fourth Proportional to 121,436.80, 182,500.80 and 106,230.40

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Solution

The fourth proportional to 121,436.80, 182,500.80 and 106,230.40 is: 159,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,436.80 : 182,500.80 = 106,230.40 : x
  2. Step 2: Convert to fraction form
    121,436.80/182,500.80 = 106,230.40/x
  3. Step 3: Cross multiply
    121,436.80x = 182,500.80 × 106,230.40
  4. Step 4: Simplify right side
    121,436.80x = 19,387,132,984.32
  5. Step 5: Solve for x
    x = 19,387,132,984.32/121,436.80
  6. Step 6: Final answer
    x = 159,647.92

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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.