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Finding the Fourth Proportional to 201,494.32, 278,065.56 and 110,857.84

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Solution

The fourth proportional to 201,494.32, 278,065.56 and 110,857.84 is: 152,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,494.32 : 278,065.56 = 110,857.84 : x
  2. Step 2: Convert to fraction form
    201,494.32/278,065.56 = 110,857.84/x
  3. Step 3: Cross multiply
    201,494.32x = 278,065.56 × 110,857.84
  4. Step 4: Simplify right side
    201,494.32x = 30,825,747,359.99
  5. Step 5: Solve for x
    x = 30,825,747,359.99/201,494.32
  6. Step 6: Final answer
    x = 152,985.69

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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.