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Finding the Fourth Proportional to 201,202.17, 277,658.92 and 110,563.98

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Solution

The fourth proportional to 201,202.17, 277,658.92 and 110,563.98 is: 152,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,202.17 : 277,658.92 = 110,563.98 : x
  2. Step 2: Convert to fraction form
    201,202.17/277,658.92 = 110,563.98/x
  3. Step 3: Cross multiply
    201,202.17x = 277,658.92 × 110,563.98
  4. Step 4: Simplify right side
    201,202.17x = 30,699,074,374.69
  5. Step 5: Solve for x
    x = 30,699,074,374.69/201,202.17
  6. Step 6: Final answer
    x = 152,578.25

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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.