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Finding the Fourth Proportional to 121,762, 168,019.77 and 76,425.49

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Solution

The fourth proportional to 121,762, 168,019.77 and 76,425.49 is: 105,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,762 : 168,019.77 = 76,425.49 : x
  2. Step 2: Convert to fraction form
    121,762/168,019.77 = 76,425.49/x
  3. Step 3: Cross multiply
    121,762x = 168,019.77 × 76,425.49
  4. Step 4: Simplify right side
    121,762x = 12,840,993,251.94
  5. Step 5: Solve for x
    x = 12,840,993,251.94/121,762
  6. Step 6: Final answer
    x = 105,459.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.