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Finding the Fourth Proportional to 137,671.64, 206,424.27 and 61,756.28

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Solution

The fourth proportional to 137,671.64, 206,424.27 and 61,756.28 is: 92,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,671.64 : 206,424.27 = 61,756.28 : x
  2. Step 2: Convert to fraction form
    137,671.64/206,424.27 = 61,756.28/x
  3. Step 3: Cross multiply
    137,671.64x = 206,424.27 × 61,756.28
  4. Step 4: Simplify right side
    137,671.64x = 12,747,993,984.79
  5. Step 5: Solve for x
    x = 12,747,993,984.79/137,671.64
  6. Step 6: Final answer
    x = 92,597.10

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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.