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Finding the Fourth Proportional to 133,064.40, 199,366.20 and 86,293.20

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Solution

The fourth proportional to 133,064.40, 199,366.20 and 86,293.20 is: 129,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064.40 : 199,366.20 = 86,293.20 : x
  2. Step 2: Convert to fraction form
    133,064.40/199,366.20 = 86,293.20/x
  3. Step 3: Cross multiply
    133,064.40x = 199,366.20 × 86,293.20
  4. Step 4: Simplify right side
    133,064.40x = 17,203,947,369.84
  5. Step 5: Solve for x
    x = 17,203,947,369.84/133,064.40
  6. Step 6: Final answer
    x = 129,290.38

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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.