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Finding the Fourth Proportional to 139,020, 191,846.52 and 75,356.16

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Solution

The fourth proportional to 139,020, 191,846.52 and 75,356.16 is: 103,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,020 : 191,846.52 = 75,356.16 : x
  2. Step 2: Convert to fraction form
    139,020/191,846.52 = 75,356.16/x
  3. Step 3: Cross multiply
    139,020x = 191,846.52 × 75,356.16
  4. Step 4: Simplify right side
    139,020x = 14,456,817,056.56
  5. Step 5: Solve for x
    x = 14,456,817,056.56/139,020
  6. Step 6: Final answer
    x = 103,990.92

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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.