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Finding the Fourth Proportional to 199,165.91, 298,802.12 and 86,855.22

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Solution

The fourth proportional to 199,165.91, 298,802.12 and 86,855.22 is: 130,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,165.91 : 298,802.12 = 86,855.22 : x
  2. Step 2: Convert to fraction form
    199,165.91/298,802.12 = 86,855.22/x
  3. Step 3: Cross multiply
    199,165.91x = 298,802.12 × 86,855.22
  4. Step 4: Simplify right side
    199,165.91x = 25,952,523,434.79
  5. Step 5: Solve for x
    x = 25,952,523,434.79/199,165.91
  6. Step 6: Final answer
    x = 130,306.06

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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.