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Finding the Fourth Proportional to 201,943.92, 278,671.23 and 111,299.59

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Solution

The fourth proportional to 201,943.92, 278,671.23 and 111,299.59 is: 153,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.92 : 278,671.23 = 111,299.59 : x
  2. Step 2: Convert to fraction form
    201,943.92/278,671.23 = 111,299.59/x
  3. Step 3: Cross multiply
    201,943.92x = 278,671.23 × 111,299.59
  4. Step 4: Simplify right side
    201,943.92x = 31,015,993,643.80
  5. Step 5: Solve for x
    x = 31,015,993,643.80/201,943.92
  6. Step 6: Final answer
    x = 153,587.16

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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.