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Finding the Fourth Proportional to 133,643.58, 200,440.29 and 67,065.84

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Solution

The fourth proportional to 133,643.58, 200,440.29 and 67,065.84 is: 100,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,643.58 : 200,440.29 = 67,065.84 : x
  2. Step 2: Convert to fraction form
    133,643.58/200,440.29 = 67,065.84/x
  3. Step 3: Cross multiply
    133,643.58x = 200,440.29 × 67,065.84
  4. Step 4: Simplify right side
    133,643.58x = 13,442,696,418.69
  5. Step 5: Solve for x
    x = 13,442,696,418.69/133,643.58
  6. Step 6: Final answer
    x = 100,586.17

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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.