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Finding the Fourth Proportional to 212,414.13, 293,159.49 and 127,536.66

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Solution

The fourth proportional to 212,414.13, 293,159.49 and 127,536.66 is: 176,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,414.13 : 293,159.49 = 127,536.66 : x
  2. Step 2: Convert to fraction form
    212,414.13/293,159.49 = 127,536.66/x
  3. Step 3: Cross multiply
    212,414.13x = 293,159.49 × 127,536.66
  4. Step 4: Simplify right side
    212,414.13x = 37,388,580,098.42
  5. Step 5: Solve for x
    x = 37,388,580,098.42/212,414.13
  6. Step 6: Final answer
    x = 176,017.39

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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.