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Finding the Fourth Proportional to 199,780.10, 275,762.24 and 159,019.00

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Solution

The fourth proportional to 199,780.10, 275,762.24 and 159,019.00 is: 219,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,780.10 : 275,762.24 = 159,019.00 : x
  2. Step 2: Convert to fraction form
    199,780.10/275,762.24 = 159,019.00/x
  3. Step 3: Cross multiply
    199,780.10x = 275,762.24 × 159,019.00
  4. Step 4: Simplify right side
    199,780.10x = 43,851,436,036.65
  5. Step 5: Solve for x
    x = 43,851,436,036.65/199,780.10
  6. Step 6: Final answer
    x = 219,498.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.