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Finding the Fourth Proportional to 209,959.80, 314,939.70 and 172,562.10

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Solution

The fourth proportional to 209,959.80, 314,939.70 and 172,562.10 is: 258,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,959.80 : 314,939.70 = 172,562.10 : x
  2. Step 2: Convert to fraction form
    209,959.80/314,939.70 = 172,562.10/x
  3. Step 3: Cross multiply
    209,959.80x = 314,939.70 × 172,562.10
  4. Step 4: Simplify right side
    209,959.80x = 54,346,656,005.37
  5. Step 5: Solve for x
    x = 54,346,656,005.37/209,959.80
  6. Step 6: Final answer
    x = 258,843.15

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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.