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Finding the Fourth Proportional to 137,654.84, 206,557.49 and 53,418.32

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Solution

The fourth proportional to 137,654.84, 206,557.49 and 53,418.32 is: 80,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,654.84 : 206,557.49 = 53,418.32 : x
  2. Step 2: Convert to fraction form
    137,654.84/206,557.49 = 53,418.32/x
  3. Step 3: Cross multiply
    137,654.84x = 206,557.49 × 53,418.32
  4. Step 4: Simplify right side
    137,654.84x = 11,033,952,799.34
  5. Step 5: Solve for x
    x = 11,033,952,799.34/137,654.84
  6. Step 6: Final answer
    x = 80,156.67

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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.