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Finding the Fourth Proportional to 291,932.14, 402,866.13 and 157,796.14

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Solution

The fourth proportional to 291,932.14, 402,866.13 and 157,796.14 is: 217,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,932.14 : 402,866.13 = 157,796.14 : x
  2. Step 2: Convert to fraction form
    291,932.14/402,866.13 = 157,796.14/x
  3. Step 3: Cross multiply
    291,932.14x = 402,866.13 × 157,796.14
  4. Step 4: Simplify right side
    291,932.14x = 63,570,720,250.74
  5. Step 5: Solve for x
    x = 63,570,720,250.74/291,932.14
  6. Step 6: Final answer
    x = 217,758.55

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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.