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Finding the Fourth Proportional to 364,859.33, 547,307.43 and 140,140.97

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Solution

The fourth proportional to 364,859.33, 547,307.43 and 140,140.97 is: 210,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,859.33 : 547,307.43 = 140,140.97 : x
  2. Step 2: Convert to fraction form
    364,859.33/547,307.43 = 140,140.97/x
  3. Step 3: Cross multiply
    364,859.33x = 547,307.43 × 140,140.97
  4. Step 4: Simplify right side
    364,859.33x = 76,700,191,391.87
  5. Step 5: Solve for x
    x = 76,700,191,391.87/364,859.33
  6. Step 6: Final answer
    x = 210,218.53

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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.