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Finding the Fourth Proportional to 301,171.47, 451,754.77 and 76,532.55

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Solution

The fourth proportional to 301,171.47, 451,754.77 and 76,532.55 is: 114,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,171.47 : 451,754.77 = 76,532.55 : x
  2. Step 2: Convert to fraction form
    301,171.47/451,754.77 = 76,532.55/x
  3. Step 3: Cross multiply
    301,171.47x = 451,754.77 × 76,532.55
  4. Step 4: Simplify right side
    301,171.47x = 34,573,944,522.76
  5. Step 5: Solve for x
    x = 34,573,944,522.76/301,171.47
  6. Step 6: Final answer
    x = 114,798.21

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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.