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Finding the Fourth Proportional to 299,345.16, 449,027.46 and 157,154.52

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Solution

The fourth proportional to 299,345.16, 449,027.46 and 157,154.52 is: 235,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,345.16 : 449,027.46 = 157,154.52 : x
  2. Step 2: Convert to fraction form
    299,345.16/449,027.46 = 157,154.52/x
  3. Step 3: Cross multiply
    299,345.16x = 449,027.46 × 157,154.52
  4. Step 4: Simplify right side
    299,345.16x = 70,566,694,943.12
  5. Step 5: Solve for x
    x = 70,566,694,943.12/299,345.16
  6. Step 6: Final answer
    x = 235,736.88

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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.