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Finding the Fourth Proportional to 214,482.53, 321,726.08 and 64,724.14

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Solution

The fourth proportional to 214,482.53, 321,726.08 and 64,724.14 is: 97,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482.53 : 321,726.08 = 64,724.14 : x
  2. Step 2: Convert to fraction form
    214,482.53/321,726.08 = 64,724.14/x
  3. Step 3: Cross multiply
    214,482.53x = 321,726.08 × 64,724.14
  4. Step 4: Simplify right side
    214,482.53x = 20,823,443,138.61
  5. Step 5: Solve for x
    x = 20,823,443,138.61/214,482.53
  6. Step 6: Final answer
    x = 97,086.90

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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.