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Finding the Fourth Proportional to 128,732.25, 193,111.74 and 35,238

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Solution

The fourth proportional to 128,732.25, 193,111.74 and 35,238 is: 52,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,732.25 : 193,111.74 = 35,238 : x
  2. Step 2: Convert to fraction form
    128,732.25/193,111.74 = 35,238/x
  3. Step 3: Cross multiply
    128,732.25x = 193,111.74 × 35,238
  4. Step 4: Simplify right side
    128,732.25x = 6,804,871,494.12
  5. Step 5: Solve for x
    x = 6,804,871,494.12/128,732.25
  6. Step 6: Final answer
    x = 52,860.66

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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.