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Finding the Fourth Proportional to 105,282.89, 157,686.39 and 73,832.61

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Solution

The fourth proportional to 105,282.89, 157,686.39 and 73,832.61 is: 110,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,282.89 : 157,686.39 = 73,832.61 : x
  2. Step 2: Convert to fraction form
    105,282.89/157,686.39 = 73,832.61/x
  3. Step 3: Cross multiply
    105,282.89x = 157,686.39 × 73,832.61
  4. Step 4: Simplify right side
    105,282.89x = 11,642,397,735.18
  5. Step 5: Solve for x
    x = 11,642,397,735.18/105,282.89
  6. Step 6: Final answer
    x = 110,582.05

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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.