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Finding the Fourth Proportional to 275,772.01, 413,465.04 and 140,877.85

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Solution

The fourth proportional to 275,772.01, 413,465.04 and 140,877.85 is: 211,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,772.01 : 413,465.04 = 140,877.85 : x
  2. Step 2: Convert to fraction form
    275,772.01/413,465.04 = 140,877.85/x
  3. Step 3: Cross multiply
    275,772.01x = 413,465.04 × 140,877.85
  4. Step 4: Simplify right side
    275,772.01x = 58,248,064,851.70
  5. Step 5: Solve for x
    x = 58,248,064,851.70/275,772.01
  6. Step 6: Final answer
    x = 211,218.19

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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.