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Finding the Fourth Proportional to 230,855.10, 345,731.85 and 112,145.10

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Solution

The fourth proportional to 230,855.10, 345,731.85 and 112,145.10 is: 167,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,855.10 : 345,731.85 = 112,145.10 : x
  2. Step 2: Convert to fraction form
    230,855.10/345,731.85 = 112,145.10/x
  3. Step 3: Cross multiply
    230,855.10x = 345,731.85 × 112,145.10
  4. Step 4: Simplify right side
    230,855.10x = 38,772,132,891.44
  5. Step 5: Solve for x
    x = 38,772,132,891.44/230,855.10
  6. Step 6: Final answer
    x = 167,950.08

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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.