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Finding the Fourth Proportional to 275,622.10, 413,039.55 and 157,042.90

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Solution

The fourth proportional to 275,622.10, 413,039.55 and 157,042.90 is: 235,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,622.10 : 413,039.55 = 157,042.90 : x
  2. Step 2: Convert to fraction form
    275,622.10/413,039.55 = 157,042.90/x
  3. Step 3: Cross multiply
    275,622.10x = 413,039.55 × 157,042.90
  4. Step 4: Simplify right side
    275,622.10x = 64,864,928,746.70
  5. Step 5: Solve for x
    x = 64,864,928,746.70/275,622.10
  6. Step 6: Final answer
    x = 235,340.09

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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.