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Finding the Fourth Proportional to 153,760.66, 230,727.11 and 65,080.54

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Solution

The fourth proportional to 153,760.66, 230,727.11 and 65,080.54 is: 97,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760.66 : 230,727.11 = 65,080.54 : x
  2. Step 2: Convert to fraction form
    153,760.66/230,727.11 = 65,080.54/x
  3. Step 3: Cross multiply
    153,760.66x = 230,727.11 × 65,080.54
  4. Step 4: Simplify right side
    153,760.66x = 15,015,844,911.44
  5. Step 5: Solve for x
    x = 15,015,844,911.44/153,760.66
  6. Step 6: Final answer
    x = 97,657.26

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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.