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Finding the Fourth Proportional to 201,592.30, 302,316.40 and 66,631.40

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Solution

The fourth proportional to 201,592.30, 302,316.40 and 66,631.40 is: 99,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,592.30 : 302,316.40 = 66,631.40 : x
  2. Step 2: Convert to fraction form
    201,592.30/302,316.40 = 66,631.40/x
  3. Step 3: Cross multiply
    201,592.30x = 302,316.40 × 66,631.40
  4. Step 4: Simplify right side
    201,592.30x = 20,143,764,974.96
  5. Step 5: Solve for x
    x = 20,143,764,974.96/201,592.30
  6. Step 6: Final answer
    x = 99,923.29

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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.