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Finding the Fourth Proportional to 139,725, 192,393.52 and 105,319.76

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Solution

The fourth proportional to 139,725, 192,393.52 and 105,319.76 is: 145,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,725 : 192,393.52 = 105,319.76 : x
  2. Step 2: Convert to fraction form
    139,725/192,393.52 = 105,319.76/x
  3. Step 3: Cross multiply
    139,725x = 192,393.52 × 105,319.76
  4. Step 4: Simplify right side
    139,725x = 20,262,839,351.96
  5. Step 5: Solve for x
    x = 20,262,839,351.96/139,725
  6. Step 6: Final answer
    x = 145,019.43

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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.