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Finding the Fourth Proportional to 138,900.52, 191,682.53 and 75,238.57

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Solution

The fourth proportional to 138,900.52, 191,682.53 and 75,238.57 is: 103,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.52 : 191,682.53 = 75,238.57 : x
  2. Step 2: Convert to fraction form
    138,900.52/191,682.53 = 75,238.57/x
  3. Step 3: Cross multiply
    138,900.52x = 191,682.53 × 75,238.57
  4. Step 4: Simplify right side
    138,900.52x = 14,421,918,492.77
  5. Step 5: Solve for x
    x = 14,421,918,492.77/138,900.52
  6. Step 6: Final answer
    x = 103,829.12

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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.