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Finding the Fourth Proportional to 145,196.38, 200,373.36 and 80,669.78

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Solution

The fourth proportional to 145,196.38, 200,373.36 and 80,669.78 is: 111,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,196.38 : 200,373.36 = 80,669.78 : x
  2. Step 2: Convert to fraction form
    145,196.38/200,373.36 = 80,669.78/x
  3. Step 3: Cross multiply
    145,196.38x = 200,373.36 × 80,669.78
  4. Step 4: Simplify right side
    145,196.38x = 16,164,074,869.06
  5. Step 5: Solve for x
    x = 16,164,074,869.06/145,196.38
  6. Step 6: Final answer
    x = 111,325.61

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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.