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Finding the Fourth Proportional to 224,236.44, 309,349.08 and 142,521

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Solution

The fourth proportional to 224,236.44, 309,349.08 and 142,521 is: 196,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,236.44 : 309,349.08 = 142,521 : x
  2. Step 2: Convert to fraction form
    224,236.44/309,349.08 = 142,521/x
  3. Step 3: Cross multiply
    224,236.44x = 309,349.08 × 142,521
  4. Step 4: Simplify right side
    224,236.44x = 44,088,740,230.68
  5. Step 5: Solve for x
    x = 44,088,740,230.68/224,236.44
  6. Step 6: Final answer
    x = 196,617.20

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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.