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Finding the Fourth Proportional to 266,452, 399,962.54 and 114,724.17

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Solution

The fourth proportional to 266,452, 399,962.54 and 114,724.17 is: 172,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,452 : 399,962.54 = 114,724.17 : x
  2. Step 2: Convert to fraction form
    266,452/399,962.54 = 114,724.17/x
  3. Step 3: Cross multiply
    266,452x = 399,962.54 × 114,724.17
  4. Step 4: Simplify right side
    266,452x = 45,885,370,432.59
  5. Step 5: Solve for x
    x = 45,885,370,432.59/266,452
  6. Step 6: Final answer
    x = 172,208.77

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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.