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Finding the Fourth Proportional to 200,740.46, 301,110.30 and 110,778.80

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Solution

The fourth proportional to 200,740.46, 301,110.30 and 110,778.80 is: 166,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.46 : 301,110.30 = 110,778.80 : x
  2. Step 2: Convert to fraction form
    200,740.46/301,110.30 = 110,778.80/x
  3. Step 3: Cross multiply
    200,740.46x = 301,110.30 × 110,778.80
  4. Step 4: Simplify right side
    200,740.46x = 33,356,637,701.64
  5. Step 5: Solve for x
    x = 33,356,637,701.64/200,740.46
  6. Step 6: Final answer
    x = 166,167.98

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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.