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Finding the Fourth Proportional to 232,356.24, 320,638.32 and 128,985.12

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Solution

The fourth proportional to 232,356.24, 320,638.32 and 128,985.12 is: 177,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,356.24 : 320,638.32 = 128,985.12 : x
  2. Step 2: Convert to fraction form
    232,356.24/320,638.32 = 128,985.12/x
  3. Step 3: Cross multiply
    232,356.24x = 320,638.32 × 128,985.12
  4. Step 4: Simplify right side
    232,356.24x = 41,357,572,181.80
  5. Step 5: Solve for x
    x = 41,357,572,181.80/232,356.24
  6. Step 6: Final answer
    x = 177,992.09

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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.