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Finding the Fourth Proportional to 259,508.33, 389,075.67 and 159,461.82

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Solution

The fourth proportional to 259,508.33, 389,075.67 and 159,461.82 is: 239,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,508.33 : 389,075.67 = 159,461.82 : x
  2. Step 2: Convert to fraction form
    259,508.33/389,075.67 = 159,461.82/x
  3. Step 3: Cross multiply
    259,508.33x = 389,075.67 × 159,461.82
  4. Step 4: Simplify right side
    259,508.33x = 62,042,714,455.92
  5. Step 5: Solve for x
    x = 62,042,714,455.92/259,508.33
  6. Step 6: Final answer
    x = 239,077.93

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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.