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Finding the Fourth Proportional to 242,459.28, 363,680.34 and 73,972.80

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Solution

The fourth proportional to 242,459.28, 363,680.34 and 73,972.80 is: 110,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,459.28 : 363,680.34 = 73,972.80 : x
  2. Step 2: Convert to fraction form
    242,459.28/363,680.34 = 73,972.80/x
  3. Step 3: Cross multiply
    242,459.28x = 363,680.34 × 73,972.80
  4. Step 4: Simplify right side
    242,459.28x = 26,902,453,054.75
  5. Step 5: Solve for x
    x = 26,902,453,054.75/242,459.28
  6. Step 6: Final answer
    x = 110,956.58

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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.