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Finding the Fourth Proportional to 240,643.84, 332,084.52 and 133,211.60

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Solution

The fourth proportional to 240,643.84, 332,084.52 and 133,211.60 is: 183,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,643.84 : 332,084.52 = 133,211.60 : x
  2. Step 2: Convert to fraction form
    240,643.84/332,084.52 = 133,211.60/x
  3. Step 3: Cross multiply
    240,643.84x = 332,084.52 × 133,211.60
  4. Step 4: Simplify right side
    240,643.84x = 44,237,510,244.43
  5. Step 5: Solve for x
    x = 44,237,510,244.43/240,643.84
  6. Step 6: Final answer
    x = 183,829.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.