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Finding the Fourth Proportional to 200,743.07, 277,025.43 and 111,319.07

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Solution

The fourth proportional to 200,743.07, 277,025.43 and 111,319.07 is: 153,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.07 : 277,025.43 = 111,319.07 : x
  2. Step 2: Convert to fraction form
    200,743.07/277,025.43 = 111,319.07/x
  3. Step 3: Cross multiply
    200,743.07x = 277,025.43 × 111,319.07
  4. Step 4: Simplify right side
    200,743.07x = 30,838,213,233.95
  5. Step 5: Solve for x
    x = 30,838,213,233.95/200,743.07
  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.