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Finding the Fourth Proportional to 253,628.80, 380,414.40 and 66,659.20

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Solution

The fourth proportional to 253,628.80, 380,414.40 and 66,659.20 is: 99,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,628.80 : 380,414.40 = 66,659.20 : x
  2. Step 2: Convert to fraction form
    253,628.80/380,414.40 = 66,659.20/x
  3. Step 3: Cross multiply
    253,628.80x = 380,414.40 × 66,659.20
  4. Step 4: Simplify right side
    253,628.80x = 25,358,119,572.48
  5. Step 5: Solve for x
    x = 25,358,119,572.48/253,628.80
  6. Step 6: Final answer
    x = 99,981.23

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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.