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Finding the Fourth Proportional to 242,712.70, 364,069.05 and 148,234.30

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Solution

The fourth proportional to 242,712.70, 364,069.05 and 148,234.30 is: 222,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,712.70 : 364,069.05 = 148,234.30 : x
  2. Step 2: Convert to fraction form
    242,712.70/364,069.05 = 148,234.30/x
  3. Step 3: Cross multiply
    242,712.70x = 364,069.05 × 148,234.30
  4. Step 4: Simplify right side
    242,712.70x = 53,967,520,778.42
  5. Step 5: Solve for x
    x = 53,967,520,778.42/242,712.70
  6. Step 6: Final answer
    x = 222,351.45

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1.5x scale

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.