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Finding the Fourth Proportional to 201,470.32, 278,023.12 and 110,826.16

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Solution

The fourth proportional to 201,470.32, 278,023.12 and 110,826.16 is: 152,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.32 : 278,023.12 = 110,826.16 : x
  2. Step 2: Convert to fraction form
    201,470.32/278,023.12 = 110,826.16/x
  3. Step 3: Cross multiply
    201,470.32x = 278,023.12 × 110,826.16
  4. Step 4: Simplify right side
    201,470.32x = 30,812,234,780.82
  5. Step 5: Solve for x
    x = 30,812,234,780.82/201,470.32
  6. Step 6: Final answer
    x = 152,936.84

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1.5x scale

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.