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Finding the Fourth Proportional to 251,525.82, 377,335.31 and 83,057.84

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Solution

The fourth proportional to 251,525.82, 377,335.31 and 83,057.84 is: 124,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,525.82 : 377,335.31 = 83,057.84 : x
  2. Step 2: Convert to fraction form
    251,525.82/377,335.31 = 83,057.84/x
  3. Step 3: Cross multiply
    251,525.82x = 377,335.31 × 83,057.84
  4. Step 4: Simplify right side
    251,525.82x = 31,340,653,502.36
  5. Step 5: Solve for x
    x = 31,340,653,502.36/251,525.82
  6. Step 6: Final answer
    x = 124,602.13

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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.