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Finding the Fourth Proportional to 214,728.30, 322,092.45 and 56,972.70

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Solution

The fourth proportional to 214,728.30, 322,092.45 and 56,972.70 is: 85,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,728.30 : 322,092.45 = 56,972.70 : x
  2. Step 2: Convert to fraction form
    214,728.30/322,092.45 = 56,972.70/x
  3. Step 3: Cross multiply
    214,728.30x = 322,092.45 × 56,972.70
  4. Step 4: Simplify right side
    214,728.30x = 18,350,476,526.12
  5. Step 5: Solve for x
    x = 18,350,476,526.12/214,728.30
  6. Step 6: Final answer
    x = 85,459.05

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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.