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Finding the Fourth Proportional to 201,760.84, 278,488.02 and 134,887.24

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Solution

The fourth proportional to 201,760.84, 278,488.02 and 134,887.24 is: 186,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.84 : 278,488.02 = 134,887.24 : x
  2. Step 2: Convert to fraction form
    201,760.84/278,488.02 = 134,887.24/x
  3. Step 3: Cross multiply
    201,760.84x = 278,488.02 × 134,887.24
  4. Step 4: Simplify right side
    201,760.84x = 37,564,480,390.86
  5. Step 5: Solve for x
    x = 37,564,480,390.86/201,760.84
  6. Step 6: Final answer
    x = 186,183.21

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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.