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Finding the Fourth Proportional to 106,505.76, 146,986.20 and 58,763.28

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Solution

The fourth proportional to 106,505.76, 146,986.20 and 58,763.28 is: 81,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,505.76 : 146,986.20 = 58,763.28 : x
  2. Step 2: Convert to fraction form
    106,505.76/146,986.20 = 58,763.28/x
  3. Step 3: Cross multiply
    106,505.76x = 146,986.20 × 58,763.28
  4. Step 4: Simplify right side
    106,505.76x = 8,637,391,226.74
  5. Step 5: Solve for x
    x = 8,637,391,226.74/106,505.76
  6. Step 6: Final answer
    x = 81,097.88

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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.