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Finding the Fourth Proportional to 201,498.48, 302,366.52 and 75,229.20

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Solution

The fourth proportional to 201,498.48, 302,366.52 and 75,229.20 is: 112,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,498.48 : 302,366.52 = 75,229.20 : x
  2. Step 2: Convert to fraction form
    201,498.48/302,366.52 = 75,229.20/x
  3. Step 3: Cross multiply
    201,498.48x = 302,366.52 × 75,229.20
  4. Step 4: Simplify right side
    201,498.48x = 22,746,791,406.38
  5. Step 5: Solve for x
    x = 22,746,791,406.38/201,498.48
  6. Step 6: Final answer
    x = 112,888.15

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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.