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Finding the Fourth Proportional to 264,425.31, 364,849.92 and 157,031.46

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Solution

The fourth proportional to 264,425.31, 364,849.92 and 157,031.46 is: 216,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,425.31 : 364,849.92 = 157,031.46 : x
  2. Step 2: Convert to fraction form
    264,425.31/364,849.92 = 157,031.46/x
  3. Step 3: Cross multiply
    264,425.31x = 364,849.92 × 157,031.46
  4. Step 4: Simplify right side
    264,425.31x = 57,292,915,618.48
  5. Step 5: Solve for x
    x = 57,292,915,618.48/264,425.31
  6. Step 6: Final answer
    x = 216,669.56

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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.