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Finding the Fourth Proportional to 106,392.42, 146,821.50 and 58,646.57

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Solution

The fourth proportional to 106,392.42, 146,821.50 and 58,646.57 is: 80,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.42 : 146,821.50 = 58,646.57 : x
  2. Step 2: Convert to fraction form
    106,392.42/146,821.50 = 58,646.57/x
  3. Step 3: Cross multiply
    106,392.42x = 146,821.50 × 58,646.57
  4. Step 4: Simplify right side
    106,392.42x = 8,610,577,377.26
  5. Step 5: Solve for x
    x = 8,610,577,377.26/106,392.42
  6. Step 6: Final answer
    x = 80,932.24

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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.