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Finding the Fourth Proportional to 230,874.60, 346,311.90 and 142,301.10

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Solution

The fourth proportional to 230,874.60, 346,311.90 and 142,301.10 is: 213,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874.60 : 346,311.90 = 142,301.10 : x
  2. Step 2: Convert to fraction form
    230,874.60/346,311.90 = 142,301.10/x
  3. Step 3: Cross multiply
    230,874.60x = 346,311.90 × 142,301.10
  4. Step 4: Simplify right side
    230,874.60x = 49,280,564,313.09
  5. Step 5: Solve for x
    x = 49,280,564,313.09/230,874.60
  6. Step 6: Final answer
    x = 213,451.65

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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.