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Finding the Fourth Proportional to 137,123.22, 189,226.26 and 76,693.98

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Solution

The fourth proportional to 137,123.22, 189,226.26 and 76,693.98 is: 105,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,123.22 : 189,226.26 = 76,693.98 : x
  2. Step 2: Convert to fraction form
    137,123.22/189,226.26 = 76,693.98/x
  3. Step 3: Cross multiply
    137,123.22x = 189,226.26 × 76,693.98
  4. Step 4: Simplify right side
    137,123.22x = 14,512,514,999.91
  5. Step 5: Solve for x
    x = 14,512,514,999.91/137,123.22
  6. Step 6: Final answer
    x = 105,835.58

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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.