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Finding the Fourth Proportional to 165,420.12, 228,097.42 and 114,344.17

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Solution

The fourth proportional to 165,420.12, 228,097.42 and 114,344.17 is: 157,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,420.12 : 228,097.42 = 114,344.17 : x
  2. Step 2: Convert to fraction form
    165,420.12/228,097.42 = 114,344.17/x
  3. Step 3: Cross multiply
    165,420.12x = 228,097.42 × 114,344.17
  4. Step 4: Simplify right side
    165,420.12x = 26,081,610,169.04
  5. Step 5: Solve for x
    x = 26,081,610,169.04/165,420.12
  6. Step 6: Final answer
    x = 157,668.91

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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.