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Finding the Fourth Proportional to 137,694.63, 206,551.82 and 57,652.05

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Solution

The fourth proportional to 137,694.63, 206,551.82 and 57,652.05 is: 86,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,694.63 : 206,551.82 = 57,652.05 : x
  2. Step 2: Convert to fraction form
    137,694.63/206,551.82 = 57,652.05/x
  3. Step 3: Cross multiply
    137,694.63x = 206,551.82 × 57,652.05
  4. Step 4: Simplify right side
    137,694.63x = 11,908,136,772.93
  5. Step 5: Solve for x
    x = 11,908,136,772.93/137,694.63
  6. Step 6: Final answer
    x = 86,482.21

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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.