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Finding the Fourth Proportional to 200,744.08, 277,026.80 and 111,320.08

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Solution

The fourth proportional to 200,744.08, 277,026.80 and 111,320.08 is: 153,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.08 : 277,026.80 = 111,320.08 : x
  2. Step 2: Convert to fraction form
    200,744.08/277,026.80 = 111,320.08/x
  3. Step 3: Cross multiply
    200,744.08x = 277,026.80 × 111,320.08
  4. Step 4: Simplify right side
    200,744.08x = 30,838,645,538.14
  5. Step 5: Solve for x
    x = 30,838,645,538.14/200,744.08
  6. Step 6: Final answer
    x = 153,621.69

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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.