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Finding the Fourth Proportional to 242,224.80, 363,445.20 and 84,566.40

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Solution

The fourth proportional to 242,224.80, 363,445.20 and 84,566.40 is: 126,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,224.80 : 363,445.20 = 84,566.40 : x
  2. Step 2: Convert to fraction form
    242,224.80/363,445.20 = 84,566.40/x
  3. Step 3: Cross multiply
    242,224.80x = 363,445.20 × 84,566.40
  4. Step 4: Simplify right side
    242,224.80x = 30,735,252,161.28
  5. Step 5: Solve for x
    x = 30,735,252,161.28/242,224.80
  6. Step 6: Final answer
    x = 126,887.31

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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.