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Finding the Fourth Proportional to 212,718.40, 319,077.60 and 107,523.70

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Solution

The fourth proportional to 212,718.40, 319,077.60 and 107,523.70 is: 161,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,718.40 : 319,077.60 = 107,523.70 : x
  2. Step 2: Convert to fraction form
    212,718.40/319,077.60 = 107,523.70/x
  3. Step 3: Cross multiply
    212,718.40x = 319,077.60 × 107,523.70
  4. Step 4: Simplify right side
    212,718.40x = 34,308,404,139.12
  5. Step 5: Solve for x
    x = 34,308,404,139.12/212,718.40
  6. Step 6: Final answer
    x = 161,285.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.