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Finding the Fourth Proportional to 214,787.76, 322,199.82 and 65,029.20

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Solution

The fourth proportional to 214,787.76, 322,199.82 and 65,029.20 is: 97,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,787.76 : 322,199.82 = 65,029.20 : x
  2. Step 2: Convert to fraction form
    214,787.76/322,199.82 = 65,029.20/x
  3. Step 3: Cross multiply
    214,787.76x = 322,199.82 × 65,029.20
  4. Step 4: Simplify right side
    214,787.76x = 20,952,396,534.74
  5. Step 5: Solve for x
    x = 20,952,396,534.74/214,787.76
  6. Step 6: Final answer
    x = 97,549.30

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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.