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Finding the Fourth Proportional to 232,369.97, 320,073.12 and 164,269.82

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Solution

The fourth proportional to 232,369.97, 320,073.12 and 164,269.82 is: 226,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,369.97 : 320,073.12 = 164,269.82 : x
  2. Step 2: Convert to fraction form
    232,369.97/320,073.12 = 164,269.82/x
  3. Step 3: Cross multiply
    232,369.97x = 320,073.12 × 164,269.82
  4. Step 4: Simplify right side
    232,369.97x = 52,578,354,609.42
  5. Step 5: Solve for x
    x = 52,578,354,609.42/232,369.97
  6. Step 6: Final answer
    x = 226,270.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.