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Finding the Fourth Proportional to 151,993.36, 209,751.66 and 83,082.92

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Solution

The fourth proportional to 151,993.36, 209,751.66 and 83,082.92 is: 114,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,993.36 : 209,751.66 = 83,082.92 : x
  2. Step 2: Convert to fraction form
    151,993.36/209,751.66 = 83,082.92/x
  3. Step 3: Cross multiply
    151,993.36x = 209,751.66 × 83,082.92
  4. Step 4: Simplify right side
    151,993.36x = 17,426,778,923.47
  5. Step 5: Solve for x
    x = 17,426,778,923.47/151,993.36
  6. Step 6: Final answer
    x = 114,654.87

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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.