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Finding the Fourth Proportional to 185,920.70, 257,068.23 and 162,301.10

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Solution

The fourth proportional to 185,920.70, 257,068.23 and 162,301.10 is: 224,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920.70 : 257,068.23 = 162,301.10 : x
  2. Step 2: Convert to fraction form
    185,920.70/257,068.23 = 162,301.10/x
  3. Step 3: Cross multiply
    185,920.70x = 257,068.23 × 162,301.10
  4. Step 4: Simplify right side
    185,920.70x = 41,722,456,504.05
  5. Step 5: Solve for x
    x = 41,722,456,504.05/185,920.70
  6. Step 6: Final answer
    x = 224,409.96

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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.