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Finding the Fourth Proportional to 200,909.76, 277,256.01 and 110,266.44

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Solution

The fourth proportional to 200,909.76, 277,256.01 and 110,266.44 is: 152,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.76 : 277,256.01 = 110,266.44 : x
  2. Step 2: Convert to fraction form
    200,909.76/277,256.01 = 110,266.44/x
  3. Step 3: Cross multiply
    200,909.76x = 277,256.01 × 110,266.44
  4. Step 4: Simplify right side
    200,909.76x = 30,572,033,191.30
  5. Step 5: Solve for x
    x = 30,572,033,191.30/200,909.76
  6. Step 6: Final answer
    x = 152,167.98

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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.