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Finding the Fourth Proportional to 129,123, 193,691.82 and 46,017

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Solution

The fourth proportional to 129,123, 193,691.82 and 46,017 is: 69,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,123 : 193,691.82 = 46,017 : x
  2. Step 2: Convert to fraction form
    129,123/193,691.82 = 46,017/x
  3. Step 3: Cross multiply
    129,123x = 193,691.82 × 46,017
  4. Step 4: Simplify right side
    129,123x = 8,913,116,480.94
  5. Step 5: Solve for x
    x = 8,913,116,480.94/129,123
  6. Step 6: Final answer
    x = 69,028.11

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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.