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Finding the Fourth Proportional to 232,379.01, 320,085.54 and 164,278.80

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Solution

The fourth proportional to 232,379.01, 320,085.54 and 164,278.80 is: 226,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,379.01 : 320,085.54 = 164,278.80 : x
  2. Step 2: Convert to fraction form
    232,379.01/320,085.54 = 164,278.80/x
  3. Step 3: Cross multiply
    232,379.01x = 320,085.54 × 164,278.80
  4. Step 4: Simplify right side
    232,379.01x = 52,583,268,408.55
  5. Step 5: Solve for x
    x = 52,583,268,408.55/232,379.01
  6. Step 6: Final answer
    x = 226,282.35

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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.