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Finding the Fourth Proportional to 212,061.68, 292,523.10 and 127,129.40

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Solution

The fourth proportional to 212,061.68, 292,523.10 and 127,129.40 is: 175,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,061.68 : 292,523.10 = 127,129.40 : x
  2. Step 2: Convert to fraction form
    212,061.68/292,523.10 = 127,129.40/x
  3. Step 3: Cross multiply
    212,061.68x = 292,523.10 × 127,129.40
  4. Step 4: Simplify right side
    212,061.68x = 37,188,286,189.14
  5. Step 5: Solve for x
    x = 37,188,286,189.14/212,061.68
  6. Step 6: Final answer
    x = 175,365.42

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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.