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Finding the Fourth Proportional to 212,934.64, 293,851.20 and 117,443.92

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Solution

The fourth proportional to 212,934.64, 293,851.20 and 117,443.92 is: 162,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,934.64 : 293,851.20 = 117,443.92 : x
  2. Step 2: Convert to fraction form
    212,934.64/293,851.20 = 117,443.92/x
  3. Step 3: Cross multiply
    212,934.64x = 293,851.20 × 117,443.92
  4. Step 4: Simplify right side
    212,934.64x = 34,511,036,824.70
  5. Step 5: Solve for x
    x = 34,511,036,824.70/212,934.64
  6. Step 6: Final answer
    x = 162,073.38

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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.