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Finding the Fourth Proportional to 242,570.70, 363,856.05 and 148,092.30

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Solution

The fourth proportional to 242,570.70, 363,856.05 and 148,092.30 is: 222,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570.70 : 363,856.05 = 148,092.30 : x
  2. Step 2: Convert to fraction form
    242,570.70/363,856.05 = 148,092.30/x
  3. Step 3: Cross multiply
    242,570.70x = 363,856.05 × 148,092.30
  4. Step 4: Simplify right side
    242,570.70x = 53,884,279,313.42
  5. Step 5: Solve for x
    x = 53,884,279,313.42/242,570.70
  6. Step 6: Final answer
    x = 222,138.45

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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.