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Finding the Fourth Proportional to 143,406.38, 197,905.61 and 78,878.35

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Solution

The fourth proportional to 143,406.38, 197,905.61 and 78,878.35 is: 108,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,406.38 : 197,905.61 = 78,878.35 : x
  2. Step 2: Convert to fraction form
    143,406.38/197,905.61 = 78,878.35/x
  3. Step 3: Cross multiply
    143,406.38x = 197,905.61 × 78,878.35
  4. Step 4: Simplify right side
    143,406.38x = 15,610,466,588.62
  5. Step 5: Solve for x
    x = 15,610,466,588.62/143,406.38
  6. Step 6: Final answer
    x = 108,854.76

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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.