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Finding the Fourth Proportional to 201,134.97, 301,741.38 and 76,466.25

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Solution

The fourth proportional to 201,134.97, 301,741.38 and 76,466.25 is: 114,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,134.97 : 301,741.38 = 76,466.25 : x
  2. Step 2: Convert to fraction form
    201,134.97/301,741.38 = 76,466.25/x
  3. Step 3: Cross multiply
    201,134.97x = 301,741.38 × 76,466.25
  4. Step 4: Simplify right side
    201,134.97x = 23,073,031,798.43
  5. Step 5: Solve for x
    x = 23,073,031,798.43/201,134.97
  6. Step 6: Final answer
    x = 114,714.17

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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.