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Finding the Fourth Proportional to 137,732.90, 206,599.35 and 48,989.30

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Solution

The fourth proportional to 137,732.90, 206,599.35 and 48,989.30 is: 73,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732.90 : 206,599.35 = 48,989.30 : x
  2. Step 2: Convert to fraction form
    137,732.90/206,599.35 = 48,989.30/x
  3. Step 3: Cross multiply
    137,732.90x = 206,599.35 × 48,989.30
  4. Step 4: Simplify right side
    137,732.90x = 10,121,157,536.96
  5. Step 5: Solve for x
    x = 10,121,157,536.96/137,732.90
  6. Step 6: Final answer
    x = 73,483.95

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Why These Related Problems?

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