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Finding the Fourth Proportional to 322,175.61, 483,322.86 and 106,046.55

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Solution

The fourth proportional to 322,175.61, 483,322.86 and 106,046.55 is: 159,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,175.61 : 483,322.86 = 106,046.55 : x
  2. Step 2: Convert to fraction form
    322,175.61/483,322.86 = 106,046.55/x
  3. Step 3: Cross multiply
    322,175.61x = 483,322.86 × 106,046.55
  4. Step 4: Simplify right side
    322,175.61x = 51,254,721,839.13
  5. Step 5: Solve for x
    x = 51,254,721,839.13/322,175.61
  6. Step 6: Final answer
    x = 159,089.39

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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.