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Finding the Fourth Proportional to 297,124.76, 445,643.30 and 86,706.20

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Solution

The fourth proportional to 297,124.76, 445,643.30 and 86,706.20 is: 130,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,124.76 : 445,643.30 = 86,706.20 : x
  2. Step 2: Convert to fraction form
    297,124.76/445,643.30 = 86,706.20/x
  3. Step 3: Cross multiply
    297,124.76x = 445,643.30 × 86,706.20
  4. Step 4: Simplify right side
    297,124.76x = 38,640,037,098.46
  5. Step 5: Solve for x
    x = 38,640,037,098.46/297,124.76
  6. Step 6: Final answer
    x = 130,046.51

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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.