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Finding the Fourth Proportional to 165,803.62, 248,520.75 and 65,937.10

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Solution

The fourth proportional to 165,803.62, 248,520.75 and 65,937.10 is: 98,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,803.62 : 248,520.75 = 65,937.10 : x
  2. Step 2: Convert to fraction form
    165,803.62/248,520.75 = 65,937.10/x
  3. Step 3: Cross multiply
    165,803.62x = 248,520.75 × 65,937.10
  4. Step 4: Simplify right side
    165,803.62x = 16,386,737,544.83
  5. Step 5: Solve for x
    x = 16,386,737,544.83/165,803.62
  6. Step 6: Final answer
    x = 98,832.21

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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.