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Finding the Fourth Proportional to 165,705.59, 228,600.96 and 111,971

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Solution

The fourth proportional to 165,705.59, 228,600.96 and 111,971 is: 154,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,705.59 : 228,600.96 = 111,971 : x
  2. Step 2: Convert to fraction form
    165,705.59/228,600.96 = 111,971/x
  3. Step 3: Cross multiply
    165,705.59x = 228,600.96 × 111,971
  4. Step 4: Simplify right side
    165,705.59x = 25,596,678,092.16
  5. Step 5: Solve for x
    x = 25,596,678,092.16/165,705.59
  6. Step 6: Final answer
    x = 154,470.82

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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.