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Finding the Fourth Proportional to 106,074.96, 146,385.95 and 58,328.27

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Solution

The fourth proportional to 106,074.96, 146,385.95 and 58,328.27 is: 80,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,074.96 : 146,385.95 = 58,328.27 : x
  2. Step 2: Convert to fraction form
    106,074.96/146,385.95 = 58,328.27/x
  3. Step 3: Cross multiply
    106,074.96x = 146,385.95 × 58,328.27
  4. Step 4: Simplify right side
    106,074.96x = 8,538,439,215.81
  5. Step 5: Solve for x
    x = 8,538,439,215.81/106,074.96
  6. Step 6: Final answer
    x = 80,494.39

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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.