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Finding the Fourth Proportional to 154,727.33, 232,103.30 and 65,981.60

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Solution

The fourth proportional to 154,727.33, 232,103.30 and 65,981.60 is: 98,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,727.33 : 232,103.30 = 65,981.60 : x
  2. Step 2: Convert to fraction form
    154,727.33/232,103.30 = 65,981.60/x
  3. Step 3: Cross multiply
    154,727.33x = 232,103.30 × 65,981.60
  4. Step 4: Simplify right side
    154,727.33x = 15,314,545,608.86
  5. Step 5: Solve for x
    x = 15,314,545,608.86/154,727.33
  6. Step 6: Final answer
    x = 98,977.64

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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.