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Finding the Fourth Proportional to 232,447.50, 320,413.62 and 151,834.68

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Solution

The fourth proportional to 232,447.50, 320,413.62 and 151,834.68 is: 209,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,447.50 : 320,413.62 = 151,834.68 : x
  2. Step 2: Convert to fraction form
    232,447.50/320,413.62 = 151,834.68/x
  3. Step 3: Cross multiply
    232,447.50x = 320,413.62 × 151,834.68
  4. Step 4: Simplify right side
    232,447.50x = 48,649,899,460.34
  5. Step 5: Solve for x
    x = 48,649,899,460.34/232,447.50
  6. Step 6: Final answer
    x = 209,294.14

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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.