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Finding the Fourth Proportional to 165,422.12, 228,100.18 and 114,346.17

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Solution

The fourth proportional to 165,422.12, 228,100.18 and 114,346.17 is: 157,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,422.12 : 228,100.18 = 114,346.17 : x
  2. Step 2: Convert to fraction form
    165,422.12/228,100.18 = 114,346.17/x
  3. Step 3: Cross multiply
    165,422.12x = 228,100.18 × 114,346.17
  4. Step 4: Simplify right side
    165,422.12x = 26,082,381,959.31
  5. Step 5: Solve for x
    x = 26,082,381,959.31/165,422.12
  6. Step 6: Final answer
    x = 157,671.67

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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.