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Finding the Fourth Proportional to 137,483.31, 206,257.77 and 48,744.57

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Solution

The fourth proportional to 137,483.31, 206,257.77 and 48,744.57 is: 73,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,483.31 : 206,257.77 = 48,744.57 : x
  2. Step 2: Convert to fraction form
    137,483.31/206,257.77 = 48,744.57/x
  3. Step 3: Cross multiply
    137,483.31x = 206,257.77 × 48,744.57
  4. Step 4: Simplify right side
    137,483.31x = 10,053,946,307.81
  5. Step 5: Solve for x
    x = 10,053,946,307.81/137,483.31
  6. Step 6: Final answer
    x = 73,128.49

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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.