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Finding the Fourth Proportional to 232,829.30, 348,725.55 and 201,725.30

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Solution

The fourth proportional to 232,829.30, 348,725.55 and 201,725.30 is: 302,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,829.30 : 348,725.55 = 201,725.30 : x
  2. Step 2: Convert to fraction form
    232,829.30/348,725.55 = 201,725.30/x
  3. Step 3: Cross multiply
    232,829.30x = 348,725.55 × 201,725.30
  4. Step 4: Simplify right side
    232,829.30x = 70,346,766,191.42
  5. Step 5: Solve for x
    x = 70,346,766,191.42/232,829.30
  6. Step 6: Final answer
    x = 302,138.80

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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.