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Finding the Fourth Proportional to 214,797.70, 296,387.88 and 124,136.16

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Solution

The fourth proportional to 214,797.70, 296,387.88 and 124,136.16 is: 171,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,797.70 : 296,387.88 = 124,136.16 : x
  2. Step 2: Convert to fraction form
    214,797.70/296,387.88 = 124,136.16/x
  3. Step 3: Cross multiply
    214,797.70x = 296,387.88 × 124,136.16
  4. Step 4: Simplify right side
    214,797.70x = 36,792,452,983.40
  5. Step 5: Solve for x
    x = 36,792,452,983.40/214,797.70
  6. Step 6: Final answer
    x = 171,288.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.