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Finding the Fourth Proportional to 140,441.52, 210,724.32 and 73,866.48

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Solution

The fourth proportional to 140,441.52, 210,724.32 and 73,866.48 is: 110,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,441.52 : 210,724.32 = 73,866.48 : x
  2. Step 2: Convert to fraction form
    140,441.52/210,724.32 = 73,866.48/x
  3. Step 3: Cross multiply
    140,441.52x = 210,724.32 × 73,866.48
  4. Step 4: Simplify right side
    140,441.52x = 15,565,463,768.79
  5. Step 5: Solve for x
    x = 15,565,463,768.79/140,441.52
  6. Step 6: Final answer
    x = 110,832.35

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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.