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Finding the Fourth Proportional to 242,564.70, 363,847.05 and 149,123.10

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Solution

The fourth proportional to 242,564.70, 363,847.05 and 149,123.10 is: 223,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.70 : 363,847.05 = 149,123.10 : x
  2. Step 2: Convert to fraction form
    242,564.70/363,847.05 = 149,123.10/x
  3. Step 3: Cross multiply
    242,564.70x = 363,847.05 × 149,123.10
  4. Step 4: Simplify right side
    242,564.70x = 54,258,000,021.86
  5. Step 5: Solve for x
    x = 54,258,000,021.86/242,564.70
  6. Step 6: Final answer
    x = 223,684.65

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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.