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Finding the Fourth Proportional to 125,908.50, 188,862.82 and 120,441.90

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Solution

The fourth proportional to 125,908.50, 188,862.82 and 120,441.90 is: 180,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,908.50 : 188,862.82 = 120,441.90 : x
  2. Step 2: Convert to fraction form
    125,908.50/188,862.82 = 120,441.90/x
  3. Step 3: Cross multiply
    125,908.50x = 188,862.82 × 120,441.90
  4. Step 4: Simplify right side
    125,908.50x = 22,746,996,880.16
  5. Step 5: Solve for x
    x = 22,746,996,880.16/125,908.50
  6. Step 6: Final answer
    x = 180,662.92

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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.