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Finding the Fourth Proportional to 137,429.58, 189,639.98 and 76,987.40

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Solution

The fourth proportional to 137,429.58, 189,639.98 and 76,987.40 is: 106,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,429.58 : 189,639.98 = 76,987.40 : x
  2. Step 2: Convert to fraction form
    137,429.58/189,639.98 = 76,987.40/x
  3. Step 3: Cross multiply
    137,429.58x = 189,639.98 × 76,987.40
  4. Step 4: Simplify right side
    137,429.58x = 14,599,889,662.82
  5. Step 5: Solve for x
    x = 14,599,889,662.82/137,429.58
  6. Step 6: Final answer
    x = 106,235.43

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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.