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Finding the Fourth Proportional to 141,210, 211,902.54 and 82,073.52

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Solution

The fourth proportional to 141,210, 211,902.54 and 82,073.52 is: 123,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 211,902.54 = 82,073.52 : x
  2. Step 2: Convert to fraction form
    141,210/211,902.54 = 82,073.52/x
  3. Step 3: Cross multiply
    141,210x = 211,902.54 × 82,073.52
  4. Step 4: Simplify right side
    141,210x = 17,391,587,354.74
  5. Step 5: Solve for x
    x = 17,391,587,354.74/141,210
  6. Step 6: Final answer
    x = 123,161.16

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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.