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Finding the Fourth Proportional to 97,535.97, 134,082.59 and 83,873.90

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Solution

The fourth proportional to 97,535.97, 134,082.59 and 83,873.90 is: 115,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,535.97 : 134,082.59 = 83,873.90 : x
  2. Step 2: Convert to fraction form
    97,535.97/134,082.59 = 83,873.90/x
  3. Step 3: Cross multiply
    97,535.97x = 134,082.59 × 83,873.90
  4. Step 4: Simplify right side
    97,535.97x = 11,246,029,661.24
  5. Step 5: Solve for x
    x = 11,246,029,661.24/97,535.97
  6. Step 6: Final answer
    x = 115,301.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.