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Finding the Fourth Proportional to 161,314.83, 222,631.47 and 92,409.80

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Solution

The fourth proportional to 161,314.83, 222,631.47 and 92,409.80 is: 127,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,314.83 : 222,631.47 = 92,409.80 : x
  2. Step 2: Convert to fraction form
    161,314.83/222,631.47 = 92,409.80/x
  3. Step 3: Cross multiply
    161,314.83x = 222,631.47 × 92,409.80
  4. Step 4: Simplify right side
    161,314.83x = 20,573,328,503.25
  5. Step 5: Solve for x
    x = 20,573,328,503.25/161,314.83
  6. Step 6: Final answer
    x = 127,535.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.