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Finding the Fourth Proportional to 199,061.80, 298,592.70 and 164,069.80

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Solution

The fourth proportional to 199,061.80, 298,592.70 and 164,069.80 is: 246,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,061.80 : 298,592.70 = 164,069.80 : x
  2. Step 2: Convert to fraction form
    199,061.80/298,592.70 = 164,069.80/x
  3. Step 3: Cross multiply
    199,061.80x = 298,592.70 × 164,069.80
  4. Step 4: Simplify right side
    199,061.80x = 48,990,044,570.46
  5. Step 5: Solve for x
    x = 48,990,044,570.46/199,061.80
  6. Step 6: Final answer
    x = 246,104.70

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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.