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Finding the Fourth Proportional to 192,158.99, 288,413.40 and 102,277.16

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Solution

The fourth proportional to 192,158.99, 288,413.40 and 102,277.16 is: 153,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,158.99 : 288,413.40 = 102,277.16 : x
  2. Step 2: Convert to fraction form
    192,158.99/288,413.40 = 102,277.16/x
  3. Step 3: Cross multiply
    192,158.99x = 288,413.40 × 102,277.16
  4. Step 4: Simplify right side
    192,158.99x = 29,498,105,103.29
  5. Step 5: Solve for x
    x = 29,498,105,103.29/192,158.99
  6. Step 6: Final answer
    x = 153,508.84

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1.5x scale

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.