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Finding the Fourth Proportional to 213,097.80, 320,424.30 and 178,883.40

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Solution

The fourth proportional to 213,097.80, 320,424.30 and 178,883.40 is: 268,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,097.80 : 320,424.30 = 178,883.40 : x
  2. Step 2: Convert to fraction form
    213,097.80/320,424.30 = 178,883.40/x
  3. Step 3: Cross multiply
    213,097.80x = 320,424.30 × 178,883.40
  4. Step 4: Simplify right side
    213,097.80x = 57,318,588,226.62
  5. Step 5: Solve for x
    x = 57,318,588,226.62/213,097.80
  6. Step 6: Final answer
    x = 268,977.85

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1.5x scale

Why These Related Problems?

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