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Finding the Fourth Proportional to 201,470.22, 278,023.02 and 110,826.16

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Solution

The fourth proportional to 201,470.22, 278,023.02 and 110,826.16 is: 152,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.22 : 278,023.02 = 110,826.16 : x
  2. Step 2: Convert to fraction form
    201,470.22/278,023.02 = 110,826.16/x
  3. Step 3: Cross multiply
    201,470.22x = 278,023.02 × 110,826.16
  4. Step 4: Simplify right side
    201,470.22x = 30,812,223,698.20
  5. Step 5: Solve for x
    x = 30,812,223,698.20/201,470.22
  6. Step 6: Final answer
    x = 152,936.86

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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.