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Finding the Fourth Proportional to 212,841.34, 293,772.23 and 127,942

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Solution

The fourth proportional to 212,841.34, 293,772.23 and 127,942 is: 176,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841.34 : 293,772.23 = 127,942 : x
  2. Step 2: Convert to fraction form
    212,841.34/293,772.23 = 127,942/x
  3. Step 3: Cross multiply
    212,841.34x = 293,772.23 × 127,942
  4. Step 4: Simplify right side
    212,841.34x = 37,585,806,650.66
  5. Step 5: Solve for x
    x = 37,585,806,650.66/212,841.34
  6. Step 6: Final answer
    x = 176,590.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.