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Finding the Fourth Proportional to 201,267.60, 301,937.85 and 101,175.90

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Solution

The fourth proportional to 201,267.60, 301,937.85 and 101,175.90 is: 151,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,267.60 : 301,937.85 = 101,175.90 : x
  2. Step 2: Convert to fraction form
    201,267.60/301,937.85 = 101,175.90/x
  3. Step 3: Cross multiply
    201,267.60x = 301,937.85 × 101,175.90
  4. Step 4: Simplify right side
    201,267.60x = 30,548,833,717.82
  5. Step 5: Solve for x
    x = 30,548,833,717.82/201,267.60
  6. Step 6: Final answer
    x = 151,782.17

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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.