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Finding the Fourth Proportional to 201,433.60, 302,193.60 and 61,206.40

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Solution

The fourth proportional to 201,433.60, 302,193.60 and 61,206.40 is: 91,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,433.60 : 302,193.60 = 61,206.40 : x
  2. Step 2: Convert to fraction form
    201,433.60/302,193.60 = 61,206.40/x
  3. Step 3: Cross multiply
    201,433.60x = 302,193.60 × 61,206.40
  4. Step 4: Simplify right side
    201,433.60x = 18,496,182,359.04
  5. Step 5: Solve for x
    x = 18,496,182,359.04/201,433.60
  6. Step 6: Final answer
    x = 91,822.73

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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.