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Finding the Fourth Proportional to 154,046.16, 231,022.20 and 65,298

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Solution

The fourth proportional to 154,046.16, 231,022.20 and 65,298 is: 97,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,046.16 : 231,022.20 = 65,298 : x
  2. Step 2: Convert to fraction form
    154,046.16/231,022.20 = 65,298/x
  3. Step 3: Cross multiply
    154,046.16x = 231,022.20 × 65,298
  4. Step 4: Simplify right side
    154,046.16x = 15,085,287,615.60
  5. Step 5: Solve for x
    x = 15,085,287,615.60/154,046.16
  6. Step 6: Final answer
    x = 97,927.06

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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.