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Finding the Fourth Proportional to 305,418, 458,186.64 and 92,203.20

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Solution

The fourth proportional to 305,418, 458,186.64 and 92,203.20 is: 138,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,418 : 458,186.64 = 92,203.20 : x
  2. Step 2: Convert to fraction form
    305,418/458,186.64 = 92,203.20/x
  3. Step 3: Cross multiply
    305,418x = 458,186.64 × 92,203.20
  4. Step 4: Simplify right side
    305,418x = 42,246,274,405.25
  5. Step 5: Solve for x
    x = 42,246,274,405.25/305,418
  6. Step 6: Final answer
    x = 138,322.80

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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.