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Finding the Fourth Proportional to 137,248.23, 204,938.11 and 121,103.21

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Solution

The fourth proportional to 137,248.23, 204,938.11 and 121,103.21 is: 180,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248.23 : 204,938.11 = 121,103.21 : x
  2. Step 2: Convert to fraction form
    137,248.23/204,938.11 = 121,103.21/x
  3. Step 3: Cross multiply
    137,248.23x = 204,938.11 × 121,103.21
  4. Step 4: Simplify right side
    137,248.23x = 24,818,663,976.66
  5. Step 5: Solve for x
    x = 24,818,663,976.66/137,248.23
  6. Step 6: Final answer
    x = 180,830.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.