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Finding the Fourth Proportional to 116,752.86, 161,114.67 and 71,413.92

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Solution

The fourth proportional to 116,752.86, 161,114.67 and 71,413.92 is: 98,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,752.86 : 161,114.67 = 71,413.92 : x
  2. Step 2: Convert to fraction form
    116,752.86/161,114.67 = 71,413.92/x
  3. Step 3: Cross multiply
    116,752.86x = 161,114.67 × 71,413.92
  4. Step 4: Simplify right side
    116,752.86x = 11,505,830,154.21
  5. Step 5: Solve for x
    x = 11,505,830,154.21/116,752.86
  6. Step 6: Final answer
    x = 98,548.59

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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.