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Finding the Fourth Proportional to 201,619.60, 302,137.80 and 89,207.80

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Solution

The fourth proportional to 201,619.60, 302,137.80 and 89,207.80 is: 133,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,619.60 : 302,137.80 = 89,207.80 : x
  2. Step 2: Convert to fraction form
    201,619.60/302,137.80 = 89,207.80/x
  3. Step 3: Cross multiply
    201,619.60x = 302,137.80 × 89,207.80
  4. Step 4: Simplify right side
    201,619.60x = 26,953,048,434.84
  5. Step 5: Solve for x
    x = 26,953,048,434.84/201,619.60
  6. Step 6: Final answer
    x = 133,682.68

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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.