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Finding the Fourth Proportional to 276,055, 414,083.14 and 83,931.12

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Solution

The fourth proportional to 276,055, 414,083.14 and 83,931.12 is: 125,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,055 : 414,083.14 = 83,931.12 : x
  2. Step 2: Convert to fraction form
    276,055/414,083.14 = 83,931.12/x
  3. Step 3: Cross multiply
    276,055x = 414,083.14 × 83,931.12
  4. Step 4: Simplify right side
    276,055x = 34,754,461,713.32
  5. Step 5: Solve for x
    x = 34,754,461,713.32/276,055
  6. Step 6: Final answer
    x = 125,896.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.