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Finding the Fourth Proportional to 224,380.80, 336,738 and 106,088.40

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Solution

The fourth proportional to 224,380.80, 336,738 and 106,088.40 is: 159,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,380.80 : 336,738 = 106,088.40 : x
  2. Step 2: Convert to fraction form
    224,380.80/336,738 = 106,088.40/x
  3. Step 3: Cross multiply
    224,380.80x = 336,738 × 106,088.40
  4. Step 4: Simplify right side
    224,380.80x = 35,723,995,639.20
  5. Step 5: Solve for x
    x = 35,723,995,639.20/224,380.80
  6. Step 6: Final answer
    x = 159,211.46

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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.