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Finding the Fourth Proportional to 310,753.64, 466,130.48 and 123,896.36

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Solution

The fourth proportional to 310,753.64, 466,130.48 and 123,896.36 is: 185,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,753.64 : 466,130.48 = 123,896.36 : x
  2. Step 2: Convert to fraction form
    310,753.64/466,130.48 = 123,896.36/x
  3. Step 3: Cross multiply
    310,753.64x = 466,130.48 × 123,896.36
  4. Step 4: Simplify right side
    310,753.64x = 57,751,869,757.05
  5. Step 5: Solve for x
    x = 57,751,869,757.05/310,753.64
  6. Step 6: Final answer
    x = 185,844.55

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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.