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Finding the Fourth Proportional to 200,743.08, 277,025.42 and 111,319.08

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Solution

The fourth proportional to 200,743.08, 277,025.42 and 111,319.08 is: 153,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.08 : 277,025.42 = 111,319.08 : x
  2. Step 2: Convert to fraction form
    200,743.08/277,025.42 = 111,319.08/x
  3. Step 3: Cross multiply
    200,743.08x = 277,025.42 × 111,319.08
  4. Step 4: Simplify right side
    200,743.08x = 30,838,214,891.01
  5. Step 5: Solve for x
    x = 30,838,214,891.01/200,743.08
  6. Step 6: Final answer
    x = 153,620.31

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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.