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Finding the Fourth Proportional to 254,385.16, 351,033.96 and 141,199

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Solution

The fourth proportional to 254,385.16, 351,033.96 and 141,199 is: 194,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,385.16 : 351,033.96 = 141,199 : x
  2. Step 2: Convert to fraction form
    254,385.16/351,033.96 = 141,199/x
  3. Step 3: Cross multiply
    254,385.16x = 351,033.96 × 141,199
  4. Step 4: Simplify right side
    254,385.16x = 49,565,644,118.04
  5. Step 5: Solve for x
    x = 49,565,644,118.04/254,385.16
  6. Step 6: Final answer
    x = 194,844.87

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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.