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Finding the Fourth Proportional to 137,878.59, 206,992.89 and 117,233.31

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Solution

The fourth proportional to 137,878.59, 206,992.89 and 117,233.31 is: 175,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.59 : 206,992.89 = 117,233.31 : x
  2. Step 2: Convert to fraction form
    137,878.59/206,992.89 = 117,233.31/x
  3. Step 3: Cross multiply
    137,878.59x = 206,992.89 × 117,233.31
  4. Step 4: Simplify right side
    137,878.59x = 24,266,461,641.17
  5. Step 5: Solve for x
    x = 24,266,461,641.17/137,878.59
  6. Step 6: Final answer
    x = 175,998.77

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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.