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Finding the Fourth Proportional to 185,902.14, 256,544.98 and 101,019

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Solution

The fourth proportional to 185,902.14, 256,544.98 and 101,019 is: 139,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,902.14 : 256,544.98 = 101,019 : x
  2. Step 2: Convert to fraction form
    185,902.14/256,544.98 = 101,019/x
  3. Step 3: Cross multiply
    185,902.14x = 256,544.98 × 101,019
  4. Step 4: Simplify right side
    185,902.14x = 25,915,917,082.07
  5. Step 5: Solve for x
    x = 25,915,917,082.07/185,902.14
  6. Step 6: Final answer
    x = 139,406.23

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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.