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Finding the Fourth Proportional to 156,202.63, 234,304.71 and 37,873.97

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Solution

The fourth proportional to 156,202.63, 234,304.71 and 37,873.97 is: 56,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,202.63 : 234,304.71 = 37,873.97 : x
  2. Step 2: Convert to fraction form
    156,202.63/234,304.71 = 37,873.97/x
  3. Step 3: Cross multiply
    156,202.63x = 234,304.71 × 37,873.97
  4. Step 4: Simplify right side
    156,202.63x = 8,874,049,557.40
  5. Step 5: Solve for x
    x = 8,874,049,557.40/156,202.63
  6. Step 6: Final answer
    x = 56,811.14

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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.