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Finding the Fourth Proportional to 181,046.84, 249,844.77 and 100,474.43

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Solution

The fourth proportional to 181,046.84, 249,844.77 and 100,474.43 is: 138,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,046.84 : 249,844.77 = 100,474.43 : x
  2. Step 2: Convert to fraction form
    181,046.84/249,844.77 = 100,474.43/x
  3. Step 3: Cross multiply
    181,046.84x = 249,844.77 × 100,474.43
  4. Step 4: Simplify right side
    181,046.84x = 25,103,009,605.01
  5. Step 5: Solve for x
    x = 25,103,009,605.01/181,046.84
  6. Step 6: Final answer
    x = 138,654.78

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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.