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Finding the Fourth Proportional to 230,673.32, 318,311.88 and 150,254.90

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Solution

The fourth proportional to 230,673.32, 318,311.88 and 150,254.90 is: 207,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,673.32 : 318,311.88 = 150,254.90 : x
  2. Step 2: Convert to fraction form
    230,673.32/318,311.88 = 150,254.90/x
  3. Step 3: Cross multiply
    230,673.32x = 318,311.88 × 150,254.90
  4. Step 4: Simplify right side
    230,673.32x = 47,827,919,698.21
  5. Step 5: Solve for x
    x = 47,827,919,698.21/230,673.32
  6. Step 6: Final answer
    x = 207,340.49

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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.