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Finding the Fourth Proportional to 137,415.40, 206,123.10 and 67,431.40

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Solution

The fourth proportional to 137,415.40, 206,123.10 and 67,431.40 is: 101,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.40 : 206,123.10 = 67,431.40 : x
  2. Step 2: Convert to fraction form
    137,415.40/206,123.10 = 67,431.40/x
  3. Step 3: Cross multiply
    137,415.40x = 206,123.10 × 67,431.40
  4. Step 4: Simplify right side
    137,415.40x = 13,899,169,205.34
  5. Step 5: Solve for x
    x = 13,899,169,205.34/137,415.40
  6. Step 6: Final answer
    x = 101,147.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.