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Finding the Fourth Proportional to 232,014.69, 320,191.26 and 144,851.49

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Solution

The fourth proportional to 232,014.69, 320,191.26 and 144,851.49 is: 199,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,014.69 : 320,191.26 = 144,851.49 : x
  2. Step 2: Convert to fraction form
    232,014.69/320,191.26 = 144,851.49/x
  3. Step 3: Cross multiply
    232,014.69x = 320,191.26 × 144,851.49
  4. Step 4: Simplify right side
    232,014.69x = 46,380,181,095.98
  5. Step 5: Solve for x
    x = 46,380,181,095.98/232,014.69
  6. Step 6: Final answer
    x = 199,901.92

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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.