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Finding the Fourth Proportional to 137,627.51, 206,440.88 and 37,787.81

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Solution

The fourth proportional to 137,627.51, 206,440.88 and 37,787.81 is: 56,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.51 : 206,440.88 = 37,787.81 : x
  2. Step 2: Convert to fraction form
    137,627.51/206,440.88 = 37,787.81/x
  3. Step 3: Cross multiply
    137,627.51x = 206,440.88 × 37,787.81
  4. Step 4: Simplify right side
    137,627.51x = 7,800,947,528.53
  5. Step 5: Solve for x
    x = 7,800,947,528.53/137,627.51
  6. Step 6: Final answer
    x = 56,681.60

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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.