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Finding the Fourth Proportional to 265,091.13, 365,822.92 and 157,658.80

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Solution

The fourth proportional to 265,091.13, 365,822.92 and 157,658.80 is: 217,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,091.13 : 365,822.92 = 157,658.80 : x
  2. Step 2: Convert to fraction form
    265,091.13/365,822.92 = 157,658.80/x
  3. Step 3: Cross multiply
    265,091.13x = 365,822.92 × 157,658.80
  4. Step 4: Simplify right side
    265,091.13x = 57,675,202,579.70
  5. Step 5: Solve for x
    x = 57,675,202,579.70/265,091.13
  6. Step 6: Final answer
    x = 217,567.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.