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Finding the Fourth Proportional to 137,029.50, 205,672.36 and 69,609.78

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Solution

The fourth proportional to 137,029.50, 205,672.36 and 69,609.78 is: 104,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029.50 : 205,672.36 = 69,609.78 : x
  2. Step 2: Convert to fraction form
    137,029.50/205,672.36 = 69,609.78/x
  3. Step 3: Cross multiply
    137,029.50x = 205,672.36 × 69,609.78
  4. Step 4: Simplify right side
    137,029.50x = 14,316,807,731.68
  5. Step 5: Solve for x
    x = 14,316,807,731.68/137,029.50
  6. Step 6: Final answer
    x = 104,479.75

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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.