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Finding the Fourth Proportional to 224,750.30, 310,164.82 and 129,257.06

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Solution

The fourth proportional to 224,750.30, 310,164.82 and 129,257.06 is: 178,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,750.30 : 310,164.82 = 129,257.06 : x
  2. Step 2: Convert to fraction form
    224,750.30/310,164.82 = 129,257.06/x
  3. Step 3: Cross multiply
    224,750.30x = 310,164.82 × 129,257.06
  4. Step 4: Simplify right side
    224,750.30x = 40,090,990,874.66
  5. Step 5: Solve for x
    x = 40,090,990,874.66/224,750.30
  6. Step 6: Final answer
    x = 178,380.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.