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Finding the Fourth Proportional to 316,084.02, 474,047.10 and 123,997.48

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Solution

The fourth proportional to 316,084.02, 474,047.10 and 123,997.48 is: 185,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,084.02 : 474,047.10 = 123,997.48 : x
  2. Step 2: Convert to fraction form
    316,084.02/474,047.10 = 123,997.48/x
  3. Step 3: Cross multiply
    316,084.02x = 474,047.10 × 123,997.48
  4. Step 4: Simplify right side
    316,084.02x = 58,780,645,801.31
  5. Step 5: Solve for x
    x = 58,780,645,801.31/316,084.02
  6. Step 6: Final answer
    x = 185,965.26

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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.