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Finding the Fourth Proportional to 201,634.60, 302,160.30 and 89,222.80

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Solution

The fourth proportional to 201,634.60, 302,160.30 and 89,222.80 is: 133,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,634.60 : 302,160.30 = 89,222.80 : x
  2. Step 2: Convert to fraction form
    201,634.60/302,160.30 = 89,222.80/x
  3. Step 3: Cross multiply
    201,634.60x = 302,160.30 × 89,222.80
  4. Step 4: Simplify right side
    201,634.60x = 26,959,588,014.84
  5. Step 5: Solve for x
    x = 26,959,588,014.84/201,634.60
  6. Step 6: Final answer
    x = 133,705.17

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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.