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Finding the Fourth Proportional to 266,056.84, 367,166.16 and 145,205.88

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Solution

The fourth proportional to 266,056.84, 367,166.16 and 145,205.88 is: 200,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,056.84 : 367,166.16 = 145,205.88 : x
  2. Step 2: Convert to fraction form
    266,056.84/367,166.16 = 145,205.88/x
  3. Step 3: Cross multiply
    266,056.84x = 367,166.16 × 145,205.88
  4. Step 4: Simplify right side
    266,056.84x = 53,314,685,369.02
  5. Step 5: Solve for x
    x = 53,314,685,369.02/266,056.84
  6. Step 6: Final answer
    x = 200,388.33

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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.