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Finding the Fourth Proportional to 116,876.80, 175,315.20 and 42,032.80

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Solution

The fourth proportional to 116,876.80, 175,315.20 and 42,032.80 is: 63,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,876.80 : 175,315.20 = 42,032.80 : x
  2. Step 2: Convert to fraction form
    116,876.80/175,315.20 = 42,032.80/x
  3. Step 3: Cross multiply
    116,876.80x = 175,315.20 × 42,032.80
  4. Step 4: Simplify right side
    116,876.80x = 7,368,988,738.56
  5. Step 5: Solve for x
    x = 7,368,988,738.56/116,876.80
  6. Step 6: Final answer
    x = 63,049.20

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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.