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Finding the Fourth Proportional to 232,066, 320,251.08 and 131,464

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Solution

The fourth proportional to 232,066, 320,251.08 and 131,464 is: 181,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,066 : 320,251.08 = 131,464 : x
  2. Step 2: Convert to fraction form
    232,066/320,251.08 = 131,464/x
  3. Step 3: Cross multiply
    232,066x = 320,251.08 × 131,464
  4. Step 4: Simplify right side
    232,066x = 42,101,487,981.12
  5. Step 5: Solve for x
    x = 42,101,487,981.12/232,066
  6. Step 6: Final answer
    x = 181,420.32

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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.