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Finding the Fourth Proportional to 232,066.50, 320,251.77 and 131,464.50

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Solution

The fourth proportional to 232,066.50, 320,251.77 and 131,464.50 is: 181,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,066.50 : 320,251.77 = 131,464.50 : x
  2. Step 2: Convert to fraction form
    232,066.50/320,251.77 = 131,464.50/x
  3. Step 3: Cross multiply
    232,066.50x = 320,251.77 × 131,464.50
  4. Step 4: Simplify right side
    232,066.50x = 42,101,738,817.17
  5. Step 5: Solve for x
    x = 42,101,738,817.17/232,066.50
  6. Step 6: Final answer
    x = 181,421.01

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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.