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Finding the Fourth Proportional to 201,568.60, 302,061.30 and 89,156.80

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Solution

The fourth proportional to 201,568.60, 302,061.30 and 89,156.80 is: 133,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,568.60 : 302,061.30 = 89,156.80 : x
  2. Step 2: Convert to fraction form
    201,568.60/302,061.30 = 89,156.80/x
  3. Step 3: Cross multiply
    201,568.60x = 302,061.30 × 89,156.80
  4. Step 4: Simplify right side
    201,568.60x = 26,930,818,911.84
  5. Step 5: Solve for x
    x = 26,930,818,911.84/201,568.60
  6. Step 6: Final answer
    x = 133,606.22

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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.