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Finding the Fourth Proportional to 128,413.60, 192,562.80 and 58,256.80

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Solution

The fourth proportional to 128,413.60, 192,562.80 and 58,256.80 is: 87,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.60 : 192,562.80 = 58,256.80 : x
  2. Step 2: Convert to fraction form
    128,413.60/192,562.80 = 58,256.80/x
  3. Step 3: Cross multiply
    128,413.60x = 192,562.80 × 58,256.80
  4. Step 4: Simplify right side
    128,413.60x = 11,218,092,527.04
  5. Step 5: Solve for x
    x = 11,218,092,527.04/128,413.60
  6. Step 6: Final answer
    x = 87,359.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.