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Finding the Fourth Proportional to 200,765.52, 277,057.80 and 111,347.28

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Solution

The fourth proportional to 200,765.52, 277,057.80 and 111,347.28 is: 153,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,765.52 : 277,057.80 = 111,347.28 : x
  2. Step 2: Convert to fraction form
    200,765.52/277,057.80 = 111,347.28/x
  3. Step 3: Cross multiply
    200,765.52x = 277,057.80 × 111,347.28
  4. Step 4: Simplify right side
    200,765.52x = 30,849,632,432.78
  5. Step 5: Solve for x
    x = 30,849,632,432.78/200,765.52
  6. Step 6: Final answer
    x = 153,660.01

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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.