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Finding the Fourth Proportional to 201,943.73, 278,671.51 and 111,281.64

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Solution

The fourth proportional to 201,943.73, 278,671.51 and 111,281.64 is: 153,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.73 : 278,671.51 = 111,281.64 : x
  2. Step 2: Convert to fraction form
    201,943.73/278,671.51 = 111,281.64/x
  3. Step 3: Cross multiply
    201,943.73x = 278,671.51 × 111,281.64
  4. Step 4: Simplify right side
    201,943.73x = 31,011,022,654.08
  5. Step 5: Solve for x
    x = 31,011,022,654.08/201,943.73
  6. Step 6: Final answer
    x = 153,562.69

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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.