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Finding the Fourth Proportional to 230,876.60, 346,314.90 and 106,217.60

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Solution

The fourth proportional to 230,876.60, 346,314.90 and 106,217.60 is: 159,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,876.60 : 346,314.90 = 106,217.60 : x
  2. Step 2: Convert to fraction form
    230,876.60/346,314.90 = 106,217.60/x
  3. Step 3: Cross multiply
    230,876.60x = 346,314.90 × 106,217.60
  4. Step 4: Simplify right side
    230,876.60x = 36,784,737,522.24
  5. Step 5: Solve for x
    x = 36,784,737,522.24/230,876.60
  6. Step 6: Final answer
    x = 159,326.40

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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.