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Finding the Fourth Proportional to 133,852.84, 200,660.14 and 50,805.16

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Solution

The fourth proportional to 133,852.84, 200,660.14 and 50,805.16 is: 76,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.84 : 200,660.14 = 50,805.16 : x
  2. Step 2: Convert to fraction form
    133,852.84/200,660.14 = 50,805.16/x
  3. Step 3: Cross multiply
    133,852.84x = 200,660.14 × 50,805.16
  4. Step 4: Simplify right side
    133,852.84x = 10,194,570,518.32
  5. Step 5: Solve for x
    x = 10,194,570,518.32/133,852.84
  6. Step 6: Final answer
    x = 76,162.53

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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.