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Finding the Fourth Proportional to 146,193.01, 201,748.03 and 85,764.68

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Solution

The fourth proportional to 146,193.01, 201,748.03 and 85,764.68 is: 118,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,193.01 : 201,748.03 = 85,764.68 : x
  2. Step 2: Convert to fraction form
    146,193.01/201,748.03 = 85,764.68/x
  3. Step 3: Cross multiply
    146,193.01x = 201,748.03 × 85,764.68
  4. Step 4: Simplify right side
    146,193.01x = 17,302,855,249.41
  5. Step 5: Solve for x
    x = 17,302,855,249.41/146,193.01
  6. Step 6: Final answer
    x = 118,356.24

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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.