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Finding the Fourth Proportional to 165,983.49, 228,984.03 and 102,358.17

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Solution

The fourth proportional to 165,983.49, 228,984.03 and 102,358.17 is: 141,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,983.49 : 228,984.03 = 102,358.17 : x
  2. Step 2: Convert to fraction form
    165,983.49/228,984.03 = 102,358.17/x
  3. Step 3: Cross multiply
    165,983.49x = 228,984.03 × 102,358.17
  4. Step 4: Simplify right side
    165,983.49x = 23,438,386,270.03
  5. Step 5: Solve for x
    x = 23,438,386,270.03/165,983.49
  6. Step 6: Final answer
    x = 141,209.14

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