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Finding the Fourth Proportional to 106,594.54, 147,098.16 and 58,194.82

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Solution

The fourth proportional to 106,594.54, 147,098.16 and 58,194.82 is: 80,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,594.54 : 147,098.16 = 58,194.82 : x
  2. Step 2: Convert to fraction form
    106,594.54/147,098.16 = 58,194.82/x
  3. Step 3: Cross multiply
    106,594.54x = 147,098.16 × 58,194.82
  4. Step 4: Simplify right side
    106,594.54x = 8,560,350,943.53
  5. Step 5: Solve for x
    x = 8,560,350,943.53/106,594.54
  6. Step 6: Final answer
    x = 80,307.59

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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.