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Finding the Fourth Proportional to 239,965.66, 360,015.24 and 105,005.68

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Solution

The fourth proportional to 239,965.66, 360,015.24 and 105,005.68 is: 157,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,965.66 : 360,015.24 = 105,005.68 : x
  2. Step 2: Convert to fraction form
    239,965.66/360,015.24 = 105,005.68/x
  3. Step 3: Cross multiply
    239,965.66x = 360,015.24 × 105,005.68
  4. Step 4: Simplify right side
    239,965.66x = 37,803,645,086.56
  5. Step 5: Solve for x
    x = 37,803,645,086.56/239,965.66
  6. Step 6: Final answer
    x = 157,537.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.