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Finding the Fourth Proportional to 283,219.64, 424,830.54 and 114,743.12

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Solution

The fourth proportional to 283,219.64, 424,830.54 and 114,743.12 is: 172,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.64 : 424,830.54 = 114,743.12 : x
  2. Step 2: Convert to fraction form
    283,219.64/424,830.54 = 114,743.12/x
  3. Step 3: Cross multiply
    283,219.64x = 424,830.54 × 114,743.12
  4. Step 4: Simplify right side
    283,219.64x = 48,746,381,630.88
  5. Step 5: Solve for x
    x = 48,746,381,630.88/283,219.64
  6. Step 6: Final answer
    x = 172,115.12

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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.