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Finding the Fourth Proportional to 232,314.30, 320,613.06 and 128,958.22

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Solution

The fourth proportional to 232,314.30, 320,613.06 and 128,958.22 is: 177,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,314.30 : 320,613.06 = 128,958.22 : x
  2. Step 2: Convert to fraction form
    232,314.30/320,613.06 = 128,958.22/x
  3. Step 3: Cross multiply
    232,314.30x = 320,613.06 × 128,958.22
  4. Step 4: Simplify right side
    232,314.30x = 41,345,689,526.35
  5. Step 5: Solve for x
    x = 41,345,689,526.35/232,314.30
  6. Step 6: Final answer
    x = 177,973.07

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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.