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Finding the Fourth Proportional to 265,090.88, 365,822.57 and 157,658.55

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Solution

The fourth proportional to 265,090.88, 365,822.57 and 157,658.55 is: 217,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,090.88 : 365,822.57 = 157,658.55 : x
  2. Step 2: Convert to fraction form
    265,090.88/365,822.57 = 157,658.55/x
  3. Step 3: Cross multiply
    265,090.88x = 365,822.57 × 157,658.55
  4. Step 4: Simplify right side
    265,090.88x = 57,675,055,943.47
  5. Step 5: Solve for x
    x = 57,675,055,943.47/265,090.88
  6. Step 6: Final answer
    x = 217,567.11

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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.