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Finding the Fourth Proportional to 232,411.48, 320,738.34 and 182,023

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Solution

The fourth proportional to 232,411.48, 320,738.34 and 182,023 is: 251,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.48 : 320,738.34 = 182,023 : x
  2. Step 2: Convert to fraction form
    232,411.48/320,738.34 = 182,023/x
  3. Step 3: Cross multiply
    232,411.48x = 320,738.34 × 182,023
  4. Step 4: Simplify right side
    232,411.48x = 58,381,754,861.82
  5. Step 5: Solve for x
    x = 58,381,754,861.82/232,411.48
  6. Step 6: Final answer
    x = 251,199.96

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