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Finding the Fourth Proportional to 137,548.72, 189,826.32 and 77,123.32

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Solution

The fourth proportional to 137,548.72, 189,826.32 and 77,123.32 is: 106,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,548.72 : 189,826.32 = 77,123.32 : x
  2. Step 2: Convert to fraction form
    137,548.72/189,826.32 = 77,123.32/x
  3. Step 3: Cross multiply
    137,548.72x = 189,826.32 × 77,123.32
  4. Step 4: Simplify right side
    137,548.72x = 14,640,036,021.78
  5. Step 5: Solve for x
    x = 14,640,036,021.78/137,548.72
  6. Step 6: Final answer
    x = 106,435.28

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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.