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Finding the Fourth Proportional to 151,177, 226,767.68 and 52,681

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Solution

The fourth proportional to 151,177, 226,767.68 and 52,681 is: 79,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,177 : 226,767.68 = 52,681 : x
  2. Step 2: Convert to fraction form
    151,177/226,767.68 = 52,681/x
  3. Step 3: Cross multiply
    151,177x = 226,767.68 × 52,681
  4. Step 4: Simplify right side
    151,177x = 11,946,348,150.08
  5. Step 5: Solve for x
    x = 11,946,348,150.08/151,177
  6. Step 6: Final answer
    x = 79,022.26

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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.