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Finding the Fourth Proportional to 302,868.60, 454,302.90 and 103,414.20

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Solution

The fourth proportional to 302,868.60, 454,302.90 and 103,414.20 is: 155,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,868.60 : 454,302.90 = 103,414.20 : x
  2. Step 2: Convert to fraction form
    302,868.60/454,302.90 = 103,414.20/x
  3. Step 3: Cross multiply
    302,868.60x = 454,302.90 × 103,414.20
  4. Step 4: Simplify right side
    302,868.60x = 46,981,370,961.18
  5. Step 5: Solve for x
    x = 46,981,370,961.18/302,868.60
  6. Step 6: Final answer
    x = 155,121.30

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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.