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Finding the Fourth Proportional to 232,884.80, 348,808.80 and 201,780.80

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Solution

The fourth proportional to 232,884.80, 348,808.80 and 201,780.80 is: 302,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884.80 : 348,808.80 = 201,780.80 : x
  2. Step 2: Convert to fraction form
    232,884.80/348,808.80 = 201,780.80/x
  3. Step 3: Cross multiply
    232,884.80x = 348,808.80 × 201,780.80
  4. Step 4: Simplify right side
    232,884.80x = 70,382,918,711.04
  5. Step 5: Solve for x
    x = 70,382,918,711.04/232,884.80
  6. Step 6: Final answer
    x = 302,222.04

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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.