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Finding the Fourth Proportional to 106,120.50, 146,444.72 and 58,371

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Solution

The fourth proportional to 106,120.50, 146,444.72 and 58,371 is: 80,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,120.50 : 146,444.72 = 58,371 : x
  2. Step 2: Convert to fraction form
    106,120.50/146,444.72 = 58,371/x
  3. Step 3: Cross multiply
    106,120.50x = 146,444.72 × 58,371
  4. Step 4: Simplify right side
    106,120.50x = 8,548,124,751.12
  5. Step 5: Solve for x
    x = 8,548,124,751.12/106,120.50
  6. Step 6: Final answer
    x = 80,551.12

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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.