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Finding the Fourth Proportional to 280,665.12, 387,187.92 and 161,364

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Solution

The fourth proportional to 280,665.12, 387,187.92 and 161,364 is: 222,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,665.12 : 387,187.92 = 161,364 : x
  2. Step 2: Convert to fraction form
    280,665.12/387,187.92 = 161,364/x
  3. Step 3: Cross multiply
    280,665.12x = 387,187.92 × 161,364
  4. Step 4: Simplify right side
    280,665.12x = 62,478,191,522.88
  5. Step 5: Solve for x
    x = 62,478,191,522.88/280,665.12
  6. Step 6: Final answer
    x = 222,607.61

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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.