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Finding the Fourth Proportional to 144,170.01, 198,954.09 and 83,776.14

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Solution

The fourth proportional to 144,170.01, 198,954.09 and 83,776.14 is: 115,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,170.01 : 198,954.09 = 83,776.14 : x
  2. Step 2: Convert to fraction form
    144,170.01/198,954.09 = 83,776.14/x
  3. Step 3: Cross multiply
    144,170.01x = 198,954.09 × 83,776.14
  4. Step 4: Simplify right side
    144,170.01x = 16,667,605,697.41
  5. Step 5: Solve for x
    x = 16,667,605,697.41/144,170.01
  6. Step 6: Final answer
    x = 115,610.77

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1.5x scale

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.