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Finding the Fourth Proportional to 225,713.81, 338,598.97 and 83,535.12

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Solution

The fourth proportional to 225,713.81, 338,598.97 and 83,535.12 is: 125,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,713.81 : 338,598.97 = 83,535.12 : x
  2. Step 2: Convert to fraction form
    225,713.81/338,598.97 = 83,535.12/x
  3. Step 3: Cross multiply
    225,713.81x = 338,598.97 × 83,535.12
  4. Step 4: Simplify right side
    225,713.81x = 28,284,905,381.99
  5. Step 5: Solve for x
    x = 28,284,905,381.99/225,713.81
  6. Step 6: Final answer
    x = 125,313.13

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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.