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Finding the Fourth Proportional to 232,833.30, 348,731.55 and 201,729.30

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Solution

The fourth proportional to 232,833.30, 348,731.55 and 201,729.30 is: 302,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,833.30 : 348,731.55 = 201,729.30 : x
  2. Step 2: Convert to fraction form
    232,833.30/348,731.55 = 201,729.30/x
  3. Step 3: Cross multiply
    232,833.30x = 348,731.55 × 201,729.30
  4. Step 4: Simplify right side
    232,833.30x = 70,349,371,469.42
  5. Step 5: Solve for x
    x = 70,349,371,469.42/232,833.30
  6. Step 6: Final answer
    x = 302,144.80

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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.