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Finding the Fourth Proportional to 200,422.08, 300,835.72 and 177,774.48

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Solution

The fourth proportional to 200,422.08, 300,835.72 and 177,774.48 is: 266,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422.08 : 300,835.72 = 177,774.48 : x
  2. Step 2: Convert to fraction form
    200,422.08/300,835.72 = 177,774.48/x
  3. Step 3: Cross multiply
    200,422.08x = 300,835.72 × 177,774.48
  4. Step 4: Simplify right side
    200,422.08x = 53,480,913,688.43
  5. Step 5: Solve for x
    x = 53,480,913,688.43/200,422.08
  6. Step 6: Final answer
    x = 266,841.43

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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.