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Finding the Fourth Proportional to 133,656.53, 200,422.01 and 77,512.59

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Solution

The fourth proportional to 133,656.53, 200,422.01 and 77,512.59 is: 116,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,656.53 : 200,422.01 = 77,512.59 : x
  2. Step 2: Convert to fraction form
    133,656.53/200,422.01 = 77,512.59/x
  3. Step 3: Cross multiply
    133,656.53x = 200,422.01 × 77,512.59
  4. Step 4: Simplify right side
    133,656.53x = 15,535,229,281.89
  5. Step 5: Solve for x
    x = 15,535,229,281.89/133,656.53
  6. Step 6: Final answer
    x = 116,232.48

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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.