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Finding the Fourth Proportional to 242,243.20, 363,019.20 and 178,566.40

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Solution

The fourth proportional to 242,243.20, 363,019.20 and 178,566.40 is: 267,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,243.20 : 363,019.20 = 178,566.40 : x
  2. Step 2: Convert to fraction form
    242,243.20/363,019.20 = 178,566.40/x
  3. Step 3: Cross multiply
    242,243.20x = 363,019.20 × 178,566.40
  4. Step 4: Simplify right side
    242,243.20x = 64,823,031,674.88
  5. Step 5: Solve for x
    x = 64,823,031,674.88/242,243.20
  6. Step 6: Final answer
    x = 267,594.85

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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.