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Finding the Fourth Proportional to 199,648.20, 299,472.30 and 99,823.80

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Solution

The fourth proportional to 199,648.20, 299,472.30 and 99,823.80 is: 149,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648.20 : 299,472.30 = 99,823.80 : x
  2. Step 2: Convert to fraction form
    199,648.20/299,472.30 = 99,823.80/x
  3. Step 3: Cross multiply
    199,648.20x = 299,472.30 × 99,823.80
  4. Step 4: Simplify right side
    199,648.20x = 29,894,462,980.74
  5. Step 5: Solve for x
    x = 29,894,462,980.74/199,648.20
  6. Step 6: Final answer
    x = 149,735.70

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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.