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Finding the Fourth Proportional to 242,294.36, 363,264.14 and 114,167

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Solution

The fourth proportional to 242,294.36, 363,264.14 and 114,167 is: 171,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,294.36 : 363,264.14 = 114,167 : x
  2. Step 2: Convert to fraction form
    242,294.36/363,264.14 = 114,167/x
  3. Step 3: Cross multiply
    242,294.36x = 363,264.14 × 114,167
  4. Step 4: Simplify right side
    242,294.36x = 41,472,777,071.38
  5. Step 5: Solve for x
    x = 41,472,777,071.38/242,294.36
  6. Step 6: Final answer
    x = 171,166.91

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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.