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Finding the Fourth Proportional to 202,046.60, 278,826.50 and 111,402.74

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Solution

The fourth proportional to 202,046.60, 278,826.50 and 111,402.74 is: 153,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046.60 : 278,826.50 = 111,402.74 : x
  2. Step 2: Convert to fraction form
    202,046.60/278,826.50 = 111,402.74/x
  3. Step 3: Cross multiply
    202,046.60x = 278,826.50 × 111,402.74
  4. Step 4: Simplify right side
    202,046.60x = 31,062,035,527.60
  5. Step 5: Solve for x
    x = 31,062,035,527.60/202,046.60
  6. Step 6: Final answer
    x = 153,736.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.