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Finding the Fourth Proportional to 364,109, 546,255.66 and 101,453

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Solution

The fourth proportional to 364,109, 546,255.66 and 101,453 is: 152,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,109 : 546,255.66 = 101,453 : x
  2. Step 2: Convert to fraction form
    364,109/546,255.66 = 101,453/x
  3. Step 3: Cross multiply
    364,109x = 546,255.66 × 101,453
  4. Step 4: Simplify right side
    364,109x = 55,419,275,473.98
  5. Step 5: Solve for x
    x = 55,419,275,473.98/364,109
  6. Step 6: Final answer
    x = 152,205.18

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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.