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Finding the Fourth Proportional to 128,413.96, 177,207.85 and 71,051.78

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Solution

The fourth proportional to 128,413.96, 177,207.85 and 71,051.78 is: 98,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.96 : 177,207.85 = 71,051.78 : x
  2. Step 2: Convert to fraction form
    128,413.96/177,207.85 = 71,051.78/x
  3. Step 3: Cross multiply
    128,413.96x = 177,207.85 × 71,051.78
  4. Step 4: Simplify right side
    128,413.96x = 12,590,933,704.31
  5. Step 5: Solve for x
    x = 12,590,933,704.31/128,413.96
  6. Step 6: Final answer
    x = 98,049.57

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1.5x scale

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.