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Finding the Fourth Proportional to 199,725.80, 299,588.70 and 188,061.80

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Solution

The fourth proportional to 199,725.80, 299,588.70 and 188,061.80 is: 282,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,725.80 : 299,588.70 = 188,061.80 : x
  2. Step 2: Convert to fraction form
    199,725.80/299,588.70 = 188,061.80/x
  3. Step 3: Cross multiply
    199,725.80x = 299,588.70 × 188,061.80
  4. Step 4: Simplify right side
    199,725.80x = 56,341,190,181.66
  5. Step 5: Solve for x
    x = 56,341,190,181.66/199,725.80
  6. Step 6: Final answer
    x = 282,092.70

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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.