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Finding the Fourth Proportional to 232,224.48, 320,169 and 150,407.16

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Solution

The fourth proportional to 232,224.48, 320,169 and 150,407.16 is: 207,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,224.48 : 320,169 = 150,407.16 : x
  2. Step 2: Convert to fraction form
    232,224.48/320,169 = 150,407.16/x
  3. Step 3: Cross multiply
    232,224.48x = 320,169 × 150,407.16
  4. Step 4: Simplify right side
    232,224.48x = 48,155,710,010.04
  5. Step 5: Solve for x
    x = 48,155,710,010.04/232,224.48
  6. Step 6: Final answer
    x = 207,367.07

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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.