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Finding the Fourth Proportional to 154,044.16, 231,019.20 and 65,296

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Solution

The fourth proportional to 154,044.16, 231,019.20 and 65,296 is: 97,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,044.16 : 231,019.20 = 65,296 : x
  2. Step 2: Convert to fraction form
    154,044.16/231,019.20 = 65,296/x
  3. Step 3: Cross multiply
    154,044.16x = 231,019.20 × 65,296
  4. Step 4: Simplify right side
    154,044.16x = 15,084,629,683.20
  5. Step 5: Solve for x
    x = 15,084,629,683.20/154,044.16
  6. Step 6: Final answer
    x = 97,924.06

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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.