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Finding the Fourth Proportional to 165,812.16, 228,755.82 and 102,039.24

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Solution

The fourth proportional to 165,812.16, 228,755.82 and 102,039.24 is: 140,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,812.16 : 228,755.82 = 102,039.24 : x
  2. Step 2: Convert to fraction form
    165,812.16/228,755.82 = 102,039.24/x
  3. Step 3: Cross multiply
    165,812.16x = 228,755.82 × 102,039.24
  4. Step 4: Simplify right side
    165,812.16x = 23,342,070,018.38
  5. Step 5: Solve for x
    x = 23,342,070,018.38/165,812.16
  6. Step 6: Final answer
    x = 140,774.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.