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Finding the Fourth Proportional to 299,693.64, 449,095.50 and 121,983.24

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Solution

The fourth proportional to 299,693.64, 449,095.50 and 121,983.24 is: 182,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.64 : 449,095.50 = 121,983.24 : x
  2. Step 2: Convert to fraction form
    299,693.64/449,095.50 = 121,983.24/x
  3. Step 3: Cross multiply
    299,693.64x = 449,095.50 × 121,983.24
  4. Step 4: Simplify right side
    299,693.64x = 54,782,124,159.42
  5. Step 5: Solve for x
    x = 54,782,124,159.42/299,693.64
  6. Step 6: Final answer
    x = 182,793.75

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1.5x scale

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.