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Finding the Fourth Proportional to 137,639.96, 189,931.20 and 77,201

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Solution

The fourth proportional to 137,639.96, 189,931.20 and 77,201 is: 106,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,639.96 : 189,931.20 = 77,201 : x
  2. Step 2: Convert to fraction form
    137,639.96/189,931.20 = 77,201/x
  3. Step 3: Cross multiply
    137,639.96x = 189,931.20 × 77,201
  4. Step 4: Simplify right side
    137,639.96x = 14,662,878,571.20
  5. Step 5: Solve for x
    x = 14,662,878,571.20/137,639.96
  6. Step 6: Final answer
    x = 106,530.68

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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.