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Finding the Fourth Proportional to 261,785.57, 361,160.19 and 151,383.81

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Solution

The fourth proportional to 261,785.57, 361,160.19 and 151,383.81 is: 208,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,785.57 : 361,160.19 = 151,383.81 : x
  2. Step 2: Convert to fraction form
    261,785.57/361,160.19 = 151,383.81/x
  3. Step 3: Cross multiply
    261,785.57x = 361,160.19 × 151,383.81
  4. Step 4: Simplify right side
    261,785.57x = 54,673,805,582.52
  5. Step 5: Solve for x
    x = 54,673,805,582.52/261,785.57
  6. Step 6: Final answer
    x = 208,849.58

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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.