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Finding the Fourth Proportional to 137,696.64, 206,700.48 and 54,648.96

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Solution

The fourth proportional to 137,696.64, 206,700.48 and 54,648.96 is: 82,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.64 : 206,700.48 = 54,648.96 : x
  2. Step 2: Convert to fraction form
    137,696.64/206,700.48 = 54,648.96/x
  3. Step 3: Cross multiply
    137,696.64x = 206,700.48 × 54,648.96
  4. Step 4: Simplify right side
    137,696.64x = 11,295,966,263.50
  5. Step 5: Solve for x
    x = 11,295,966,263.50/137,696.64
  6. Step 6: Final answer
    x = 82,035.16

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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.