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Finding the Fourth Proportional to 154,193.80, 230,829.90 and 91,832.20

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Solution

The fourth proportional to 154,193.80, 230,829.90 and 91,832.20 is: 137,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,193.80 : 230,829.90 = 91,832.20 : x
  2. Step 2: Convert to fraction form
    154,193.80/230,829.90 = 91,832.20/x
  3. Step 3: Cross multiply
    154,193.80x = 230,829.90 × 91,832.20
  4. Step 4: Simplify right side
    154,193.80x = 21,197,617,542.78
  5. Step 5: Solve for x
    x = 21,197,617,542.78/154,193.80
  6. Step 6: Final answer
    x = 137,473.86

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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.