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Finding the Fourth Proportional to 203,413.65, 280,717.47 and 112,778.05

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Solution

The fourth proportional to 203,413.65, 280,717.47 and 112,778.05 is: 155,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.65 : 280,717.47 = 112,778.05 : x
  2. Step 2: Convert to fraction form
    203,413.65/280,717.47 = 112,778.05/x
  3. Step 3: Cross multiply
    203,413.65x = 280,717.47 × 112,778.05
  4. Step 4: Simplify right side
    203,413.65x = 31,658,768,219.76
  5. Step 5: Solve for x
    x = 31,658,768,219.76/203,413.65
  6. Step 6: Final answer
    x = 155,637.38

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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.