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Finding the Fourth Proportional to 224,242.59, 309,377.15 and 143,714.51

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Solution

The fourth proportional to 224,242.59, 309,377.15 and 143,714.51 is: 198,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.59 : 309,377.15 = 143,714.51 : x
  2. Step 2: Convert to fraction form
    224,242.59/309,377.15 = 143,714.51/x
  3. Step 3: Cross multiply
    224,242.59x = 309,377.15 × 143,714.51
  4. Step 4: Simplify right side
    224,242.59x = 44,461,983,251.99
  5. Step 5: Solve for x
    x = 44,461,983,251.99/224,242.59
  6. Step 6: Final answer
    x = 198,276.27

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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.