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Finding the Fourth Proportional to 232,832.30, 348,730.05 and 201,728.30

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Solution

The fourth proportional to 232,832.30, 348,730.05 and 201,728.30 is: 302,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,832.30 : 348,730.05 = 201,728.30 : x
  2. Step 2: Convert to fraction form
    232,832.30/348,730.05 = 201,728.30/x
  3. Step 3: Cross multiply
    232,832.30x = 348,730.05 × 201,728.30
  4. Step 4: Simplify right side
    232,832.30x = 70,348,720,145.42
  5. Step 5: Solve for x
    x = 70,348,720,145.42/232,832.30
  6. Step 6: Final answer
    x = 302,143.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.