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Finding the Fourth Proportional to 133,568.64, 200,321.51 and 38,773.80

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Solution

The fourth proportional to 133,568.64, 200,321.51 and 38,773.80 is: 58,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.64 : 200,321.51 = 38,773.80 : x
  2. Step 2: Convert to fraction form
    133,568.64/200,321.51 = 38,773.80/x
  3. Step 3: Cross multiply
    133,568.64x = 200,321.51 × 38,773.80
  4. Step 4: Simplify right side
    133,568.64x = 7,767,225,970.57
  5. Step 5: Solve for x
    x = 7,767,225,970.57/133,568.64
  6. Step 6: Final answer
    x = 58,151.57

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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.