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Finding the Fourth Proportional to 212,727.10, 293,561.90 and 117,233.90

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Solution

The fourth proportional to 212,727.10, 293,561.90 and 117,233.90 is: 161,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,727.10 : 293,561.90 = 117,233.90 : x
  2. Step 2: Convert to fraction form
    212,727.10/293,561.90 = 117,233.90/x
  3. Step 3: Cross multiply
    212,727.10x = 293,561.90 × 117,233.90
  4. Step 4: Simplify right side
    212,727.10x = 34,415,406,428.41
  5. Step 5: Solve for x
    x = 34,415,406,428.41/212,727.10
  6. Step 6: Final answer
    x = 161,781.96

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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.