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Finding the Fourth Proportional to 199,411.20, 299,116.80 and 177,292.80

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Solution

The fourth proportional to 199,411.20, 299,116.80 and 177,292.80 is: 265,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.20 : 299,116.80 = 177,292.80 : x
  2. Step 2: Convert to fraction form
    199,411.20/299,116.80 = 177,292.80/x
  3. Step 3: Cross multiply
    199,411.20x = 299,116.80 × 177,292.80
  4. Step 4: Simplify right side
    199,411.20x = 53,031,254,999.04
  5. Step 5: Solve for x
    x = 53,031,254,999.04/199,411.20
  6. Step 6: Final answer
    x = 265,939.20

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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.