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Finding the Fourth Proportional to 99,285.80, 148,928.70 and 25,413.80

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Solution

The fourth proportional to 99,285.80, 148,928.70 and 25,413.80 is: 38,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,285.80 : 148,928.70 = 25,413.80 : x
  2. Step 2: Convert to fraction form
    99,285.80/148,928.70 = 25,413.80/x
  3. Step 3: Cross multiply
    99,285.80x = 148,928.70 × 25,413.80
  4. Step 4: Simplify right side
    99,285.80x = 3,784,844,196.06
  5. Step 5: Solve for x
    x = 3,784,844,196.06/99,285.80
  6. Step 6: Final answer
    x = 38,120.70

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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.