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Finding the Fourth Proportional to 203,608.42, 280,970.10 and 112,963.42

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Solution

The fourth proportional to 203,608.42, 280,970.10 and 112,963.42 is: 155,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,608.42 : 280,970.10 = 112,963.42 : x
  2. Step 2: Convert to fraction form
    203,608.42/280,970.10 = 112,963.42/x
  3. Step 3: Cross multiply
    203,608.42x = 280,970.10 × 112,963.42
  4. Step 4: Simplify right side
    203,608.42x = 31,739,343,413.74
  5. Step 5: Solve for x
    x = 31,739,343,413.74/203,608.42
  6. Step 6: Final answer
    x = 155,884.24

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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.