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Finding the Fourth Proportional to 141,426.38, 195,209.78 and 84,106.01

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Solution

The fourth proportional to 141,426.38, 195,209.78 and 84,106.01 is: 116,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,426.38 : 195,209.78 = 84,106.01 : x
  2. Step 2: Convert to fraction form
    141,426.38/195,209.78 = 84,106.01/x
  3. Step 3: Cross multiply
    141,426.38x = 195,209.78 × 84,106.01
  4. Step 4: Simplify right side
    141,426.38x = 16,418,315,776.27
  5. Step 5: Solve for x
    x = 16,418,315,776.27/141,426.38
  6. Step 6: Final answer
    x = 116,090.90

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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.