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Finding the Fourth Proportional to 301,185, 451,685.34 and 101,451.84

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Solution

The fourth proportional to 301,185, 451,685.34 and 101,451.84 is: 152,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,185 : 451,685.34 = 101,451.84 : x
  2. Step 2: Convert to fraction form
    301,185/451,685.34 = 101,451.84/x
  3. Step 3: Cross multiply
    301,185x = 451,685.34 × 101,451.84
  4. Step 4: Simplify right side
    301,185x = 45,824,308,844.03
  5. Step 5: Solve for x
    x = 45,824,308,844.03/301,185
  6. Step 6: Final answer
    x = 152,146.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.