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Finding the Fourth Proportional to 267,063.75, 368,556.67 and 146,205

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Solution

The fourth proportional to 267,063.75, 368,556.67 and 146,205 is: 201,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,063.75 : 368,556.67 = 146,205 : x
  2. Step 2: Convert to fraction form
    267,063.75/368,556.67 = 146,205/x
  3. Step 3: Cross multiply
    267,063.75x = 368,556.67 × 146,205
  4. Step 4: Simplify right side
    267,063.75x = 53,884,827,937.35
  5. Step 5: Solve for x
    x = 53,884,827,937.35/267,063.75
  6. Step 6: Final answer
    x = 201,767.66

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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.