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Finding the Fourth Proportional to 201,408.50, 277,938.18 and 110,764.47

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Solution

The fourth proportional to 201,408.50, 277,938.18 and 110,764.47 is: 152,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.50 : 277,938.18 = 110,764.47 : x
  2. Step 2: Convert to fraction form
    201,408.50/277,938.18 = 110,764.47/x
  3. Step 3: Cross multiply
    201,408.50x = 277,938.18 × 110,764.47
  4. Step 4: Simplify right side
    201,408.50x = 30,785,676,641.69
  5. Step 5: Solve for x
    x = 30,785,676,641.69/201,408.50
  6. Step 6: Final answer
    x = 152,851.92

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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.