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Finding the Fourth Proportional to 200,743.13, 277,025.52 and 111,319.13

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Solution

The fourth proportional to 200,743.13, 277,025.52 and 111,319.13 is: 153,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.13 : 277,025.52 = 111,319.13 : x
  2. Step 2: Convert to fraction form
    200,743.13/277,025.52 = 111,319.13/x
  3. Step 3: Cross multiply
    200,743.13x = 277,025.52 × 111,319.13
  4. Step 4: Simplify right side
    200,743.13x = 30,838,238,489.07
  5. Step 5: Solve for x
    x = 30,838,238,489.07/200,743.13
  6. Step 6: Final answer
    x = 153,620.40

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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.