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Finding the Fourth Proportional to 137,680.84, 206,526.34 and 37,848.84

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Solution

The fourth proportional to 137,680.84, 206,526.34 and 37,848.84 is: 56,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,680.84 : 206,526.34 = 37,848.84 : x
  2. Step 2: Convert to fraction form
    137,680.84/206,526.34 = 37,848.84/x
  3. Step 3: Cross multiply
    137,680.84x = 206,526.34 × 37,848.84
  4. Step 4: Simplify right side
    137,680.84x = 7,816,782,398.45
  5. Step 5: Solve for x
    x = 7,816,782,398.45/137,680.84
  6. Step 6: Final answer
    x = 56,774.66

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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.