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Finding the Fourth Proportional to 137,541.70, 189,807.39 and 77,112.36

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Solution

The fourth proportional to 137,541.70, 189,807.39 and 77,112.36 is: 106,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,541.70 : 189,807.39 = 77,112.36 : x
  2. Step 2: Convert to fraction form
    137,541.70/189,807.39 = 77,112.36/x
  3. Step 3: Cross multiply
    137,541.70x = 189,807.39 × 77,112.36
  4. Step 4: Simplify right side
    137,541.70x = 14,636,495,788.34
  5. Step 5: Solve for x
    x = 14,636,495,788.34/137,541.70
  6. Step 6: Final answer
    x = 106,414.97

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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.