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Finding the Fourth Proportional to 273,526.80, 410,249.16 and 86,514

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Solution

The fourth proportional to 273,526.80, 410,249.16 and 86,514 is: 129,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,526.80 : 410,249.16 = 86,514 : x
  2. Step 2: Convert to fraction form
    273,526.80/410,249.16 = 86,514/x
  3. Step 3: Cross multiply
    273,526.80x = 410,249.16 × 86,514
  4. Step 4: Simplify right side
    273,526.80x = 35,492,295,828.24
  5. Step 5: Solve for x
    x = 35,492,295,828.24/273,526.80
  6. Step 6: Final answer
    x = 129,758.02

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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.