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Finding the Fourth Proportional to 137,696.48, 206,503.36 and 48,938.32

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Solution

The fourth proportional to 137,696.48, 206,503.36 and 48,938.32 is: 73,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.48 : 206,503.36 = 48,938.32 : x
  2. Step 2: Convert to fraction form
    137,696.48/206,503.36 = 48,938.32/x
  3. Step 3: Cross multiply
    137,696.48x = 206,503.36 × 48,938.32
  4. Step 4: Simplify right side
    137,696.48x = 10,105,927,512.76
  5. Step 5: Solve for x
    x = 10,105,927,512.76/137,696.48
  6. Step 6: Final answer
    x = 73,392.78

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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.