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Finding the Fourth Proportional to 106,504.86, 146,977.29 and 58,758.24

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Solution

The fourth proportional to 106,504.86, 146,977.29 and 58,758.24 is: 81,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,504.86 : 146,977.29 = 58,758.24 : x
  2. Step 2: Convert to fraction form
    106,504.86/146,977.29 = 58,758.24/x
  3. Step 3: Cross multiply
    106,504.86x = 146,977.29 × 58,758.24
  4. Step 4: Simplify right side
    106,504.86x = 8,636,126,880.37
  5. Step 5: Solve for x
    x = 8,636,126,880.37/106,504.86
  6. Step 6: Final answer
    x = 81,086.69

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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.