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Finding the Fourth Proportional to 82,233.70, 115,282.70 and 82,233.70

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Solution

The fourth proportional to 82,233.70, 115,282.70 and 82,233.70 is: 115,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,233.70 : 115,282.70 = 82,233.70 : x
  2. Step 2: Convert to fraction form
    82,233.70/115,282.70 = 82,233.70/x
  3. Step 3: Cross multiply
    82,233.70x = 115,282.70 × 82,233.70
  4. Step 4: Simplify right side
    82,233.70x = 9,480,122,966.99
  5. Step 5: Solve for x
    x = 9,480,122,966.99/82,233.70
  6. Step 6: Final answer
    x = 115,282.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.