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Finding the Fourth Proportional to 137,765.36, 206,669.64 and 58,880

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Solution

The fourth proportional to 137,765.36, 206,669.64 and 58,880 is: 88,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,765.36 : 206,669.64 = 58,880 : x
  2. Step 2: Convert to fraction form
    137,765.36/206,669.64 = 58,880/x
  3. Step 3: Cross multiply
    137,765.36x = 206,669.64 × 58,880
  4. Step 4: Simplify right side
    137,765.36x = 12,168,708,403.20
  5. Step 5: Solve for x
    x = 12,168,708,403.20/137,765.36
  6. Step 6: Final answer
    x = 88,329.23

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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.