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Finding the Fourth Proportional to 105,873.74, 146,041.56 and 62,824.87

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Solution

The fourth proportional to 105,873.74, 146,041.56 and 62,824.87 is: 86,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.74 : 146,041.56 = 62,824.87 : x
  2. Step 2: Convert to fraction form
    105,873.74/146,041.56 = 62,824.87/x
  3. Step 3: Cross multiply
    105,873.74x = 146,041.56 × 62,824.87
  4. Step 4: Simplify right side
    105,873.74x = 9,175,042,021.60
  5. Step 5: Solve for x
    x = 9,175,042,021.60/105,873.74
  6. Step 6: Final answer
    x = 86,660.22

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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.