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Finding the Fourth Proportional to 199,775.38, 275,924.06 and 159,075.76

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Solution

The fourth proportional to 199,775.38, 275,924.06 and 159,075.76 is: 219,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,775.38 : 275,924.06 = 159,075.76 : x
  2. Step 2: Convert to fraction form
    199,775.38/275,924.06 = 159,075.76/x
  3. Step 3: Cross multiply
    199,775.38x = 275,924.06 × 159,075.76
  4. Step 4: Simplify right side
    199,775.38x = 43,892,829,546.79
  5. Step 5: Solve for x
    x = 43,892,829,546.79/199,775.38
  6. Step 6: Final answer
    x = 219,710.91

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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.