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Finding the Fourth Proportional to 201,806.60, 302,774.70 and 89,443.40

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Solution

The fourth proportional to 201,806.60, 302,774.70 and 89,443.40 is: 134,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.60 : 302,774.70 = 89,443.40 : x
  2. Step 2: Convert to fraction form
    201,806.60/302,774.70 = 89,443.40/x
  3. Step 3: Cross multiply
    201,806.60x = 302,774.70 × 89,443.40
  4. Step 4: Simplify right side
    201,806.60x = 27,081,198,601.98
  5. Step 5: Solve for x
    x = 27,081,198,601.98/201,806.60
  6. Step 6: Final answer
    x = 134,193.82

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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.