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Finding the Fourth Proportional to 137,637.96, 189,928.44 and 77,199

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Solution

The fourth proportional to 137,637.96, 189,928.44 and 77,199 is: 106,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,637.96 : 189,928.44 = 77,199 : x
  2. Step 2: Convert to fraction form
    137,637.96/189,928.44 = 77,199/x
  3. Step 3: Cross multiply
    137,637.96x = 189,928.44 × 77,199
  4. Step 4: Simplify right side
    137,637.96x = 14,662,285,639.56
  5. Step 5: Solve for x
    x = 14,662,285,639.56/137,637.96
  6. Step 6: Final answer
    x = 106,527.92

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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.