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Finding the Fourth Proportional to 213,073.80, 319,389.30 and 86,659.80

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Solution

The fourth proportional to 213,073.80, 319,389.30 and 86,659.80 is: 129,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,073.80 : 319,389.30 = 86,659.80 : x
  2. Step 2: Convert to fraction form
    213,073.80/319,389.30 = 86,659.80/x
  3. Step 3: Cross multiply
    213,073.80x = 319,389.30 × 86,659.80
  4. Step 4: Simplify right side
    213,073.80x = 27,678,212,860.14
  5. Step 5: Solve for x
    x = 27,678,212,860.14/213,073.80
  6. Step 6: Final answer
    x = 129,899.65

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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.