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Finding the Fourth Proportional to 133,282.42, 183,922.65 and 72,841.42

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Solution

The fourth proportional to 133,282.42, 183,922.65 and 72,841.42 is: 100,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,282.42 : 183,922.65 = 72,841.42 : x
  2. Step 2: Convert to fraction form
    133,282.42/183,922.65 = 72,841.42/x
  3. Step 3: Cross multiply
    133,282.42x = 183,922.65 × 72,841.42
  4. Step 4: Simplify right side
    133,282.42x = 13,397,186,996.16
  5. Step 5: Solve for x
    x = 13,397,186,996.16/133,282.42
  6. Step 6: Final answer
    x = 100,517.28

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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.