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Finding the Fourth Proportional to 212,538.13, 293,300.39 and 117,042.77

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Solution

The fourth proportional to 212,538.13, 293,300.39 and 117,042.77 is: 161,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,538.13 : 293,300.39 = 117,042.77 : x
  2. Step 2: Convert to fraction form
    212,538.13/293,300.39 = 117,042.77/x
  3. Step 3: Cross multiply
    212,538.13x = 293,300.39 × 117,042.77
  4. Step 4: Simplify right side
    212,538.13x = 34,328,691,113.54
  5. Step 5: Solve for x
    x = 34,328,691,113.54/212,538.13
  6. Step 6: Final answer
    x = 161,517.80

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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.