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Finding the Fourth Proportional to 137,702.81, 206,532.34 and 53,501.49

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Solution

The fourth proportional to 137,702.81, 206,532.34 and 53,501.49 is: 80,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,702.81 : 206,532.34 = 53,501.49 : x
  2. Step 2: Convert to fraction form
    137,702.81/206,532.34 = 53,501.49/x
  3. Step 3: Cross multiply
    137,702.81x = 206,532.34 × 53,501.49
  4. Step 4: Simplify right side
    137,702.81x = 11,049,787,923.19
  5. Step 5: Solve for x
    x = 11,049,787,923.19/137,702.81
  6. Step 6: Final answer
    x = 80,243.74

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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.