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Finding the Fourth Proportional to 200,774.70, 300,816.45 and 105,864.30

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Solution

The fourth proportional to 200,774.70, 300,816.45 and 105,864.30 is: 158,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,774.70 : 300,816.45 = 105,864.30 : x
  2. Step 2: Convert to fraction form
    200,774.70/300,816.45 = 105,864.30/x
  3. Step 3: Cross multiply
    200,774.70x = 300,816.45 × 105,864.30
  4. Step 4: Simplify right side
    200,774.70x = 31,845,722,907.74
  5. Step 5: Solve for x
    x = 31,845,722,907.74/200,774.70
  6. Step 6: Final answer
    x = 158,614.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.