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Finding the Fourth Proportional to 241,392.48, 362,002.32 and 83,578.56

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Solution

The fourth proportional to 241,392.48, 362,002.32 and 83,578.56 is: 125,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,392.48 : 362,002.32 = 83,578.56 : x
  2. Step 2: Convert to fraction form
    241,392.48/362,002.32 = 83,578.56/x
  3. Step 3: Cross multiply
    241,392.48x = 362,002.32 × 83,578.56
  4. Step 4: Simplify right side
    241,392.48x = 30,255,632,622.26
  5. Step 5: Solve for x
    x = 30,255,632,622.26/241,392.48
  6. Step 6: Final answer
    x = 125,337.93

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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.