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Finding the Fourth Proportional to 159,104.64, 238,704.32 and 65,616

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Solution

The fourth proportional to 159,104.64, 238,704.32 and 65,616 is: 98,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,104.64 : 238,704.32 = 65,616 : x
  2. Step 2: Convert to fraction form
    159,104.64/238,704.32 = 65,616/x
  3. Step 3: Cross multiply
    159,104.64x = 238,704.32 × 65,616
  4. Step 4: Simplify right side
    159,104.64x = 15,662,822,661.12
  5. Step 5: Solve for x
    x = 15,662,822,661.12/159,104.64
  6. Step 6: Final answer
    x = 98,443.53

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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.