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Finding the Fourth Proportional to 159,284.88, 219,777.84 and 92,178

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Solution

The fourth proportional to 159,284.88, 219,777.84 and 92,178 is: 127,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,284.88 : 219,777.84 = 92,178 : x
  2. Step 2: Convert to fraction form
    159,284.88/219,777.84 = 92,178/x
  3. Step 3: Cross multiply
    159,284.88x = 219,777.84 × 92,178
  4. Step 4: Simplify right side
    159,284.88x = 20,258,681,735.52
  5. Step 5: Solve for x
    x = 20,258,681,735.52/159,284.88
  6. Step 6: Final answer
    x = 127,185.22

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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.