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Finding the Fourth Proportional to 175,718.16, 263,724.86 and 75,954.51

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Solution

The fourth proportional to 175,718.16, 263,724.86 and 75,954.51 is: 113,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,718.16 : 263,724.86 = 75,954.51 : x
  2. Step 2: Convert to fraction form
    175,718.16/263,724.86 = 75,954.51/x
  3. Step 3: Cross multiply
    175,718.16x = 263,724.86 × 75,954.51
  4. Step 4: Simplify right side
    175,718.16x = 20,031,092,706.00
  5. Step 5: Solve for x
    x = 20,031,092,706.00/175,718.16
  6. Step 6: Final answer
    x = 113,995.58

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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.