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Finding the Fourth Proportional to 259,507.95, 389,075.10 and 159,461.44

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Solution

The fourth proportional to 259,507.95, 389,075.10 and 159,461.44 is: 239,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,507.95 : 389,075.10 = 159,461.44 : x
  2. Step 2: Convert to fraction form
    259,507.95/389,075.10 = 159,461.44/x
  3. Step 3: Cross multiply
    259,507.95x = 389,075.10 × 159,461.44
  4. Step 4: Simplify right side
    259,507.95x = 62,042,475,714.14
  5. Step 5: Solve for x
    x = 62,042,475,714.14/259,507.95
  6. Step 6: Final answer
    x = 239,077.36

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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.