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Finding the Fourth Proportional to 251,061.82, 346,468.04 and 137,884.56

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Solution

The fourth proportional to 251,061.82, 346,468.04 and 137,884.56 is: 190,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,061.82 : 346,468.04 = 137,884.56 : x
  2. Step 2: Convert to fraction form
    251,061.82/346,468.04 = 137,884.56/x
  3. Step 3: Cross multiply
    251,061.82x = 346,468.04 × 137,884.56
  4. Step 4: Simplify right side
    251,061.82x = 47,772,593,249.46
  5. Step 5: Solve for x
    x = 47,772,593,249.46/251,061.82
  6. Step 6: Final answer
    x = 190,282.19

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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.