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Finding the Fourth Proportional to 165,839.16, 228,890.70 and 115,509

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Solution

The fourth proportional to 165,839.16, 228,890.70 and 115,509 is: 159,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,839.16 : 228,890.70 = 115,509 : x
  2. Step 2: Convert to fraction form
    165,839.16/228,890.70 = 115,509/x
  3. Step 3: Cross multiply
    165,839.16x = 228,890.70 × 115,509
  4. Step 4: Simplify right side
    165,839.16x = 26,438,935,866.30
  5. Step 5: Solve for x
    x = 26,438,935,866.30/165,839.16
  6. Step 6: Final answer
    x = 159,425.17

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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.