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Finding the Fourth Proportional to 106,467.67, 146,925.25 and 58,721.21

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Solution

The fourth proportional to 106,467.67, 146,925.25 and 58,721.21 is: 81,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,467.67 : 146,925.25 = 58,721.21 : x
  2. Step 2: Convert to fraction form
    106,467.67/146,925.25 = 58,721.21/x
  3. Step 3: Cross multiply
    106,467.67x = 146,925.25 × 58,721.21
  4. Step 4: Simplify right side
    106,467.67x = 8,627,628,459.55
  5. Step 5: Solve for x
    x = 8,627,628,459.55/106,467.67
  6. Step 6: Final answer
    x = 81,035.20

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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.