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Finding the Fourth Proportional to 137,769.36, 206,675.64 and 58,884

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Solution

The fourth proportional to 137,769.36, 206,675.64 and 58,884 is: 88,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,769.36 : 206,675.64 = 58,884 : x
  2. Step 2: Convert to fraction form
    137,769.36/206,675.64 = 58,884/x
  3. Step 3: Cross multiply
    137,769.36x = 206,675.64 × 58,884
  4. Step 4: Simplify right side
    137,769.36x = 12,169,888,385.76
  5. Step 5: Solve for x
    x = 12,169,888,385.76/137,769.36
  6. Step 6: Final answer
    x = 88,335.23

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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.