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Finding the Fourth Proportional to 141,661.74, 212,424.84 and 82,514.28

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Solution

The fourth proportional to 141,661.74, 212,424.84 and 82,514.28 is: 123,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,661.74 : 212,424.84 = 82,514.28 : x
  2. Step 2: Convert to fraction form
    141,661.74/212,424.84 = 82,514.28/x
  3. Step 3: Cross multiply
    141,661.74x = 212,424.84 × 82,514.28
  4. Step 4: Simplify right side
    141,661.74x = 17,528,082,726.72
  5. Step 5: Solve for x
    x = 17,528,082,726.72/141,661.74
  6. Step 6: Final answer
    x = 123,731.95

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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.