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Finding the Fourth Proportional to 201,644.60, 302,291.88 and 101,721.32

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Solution

The fourth proportional to 201,644.60, 302,291.88 and 101,721.32 is: 152,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.60 : 302,291.88 = 101,721.32 : x
  2. Step 2: Convert to fraction form
    201,644.60/302,291.88 = 101,721.32/x
  3. Step 3: Cross multiply
    201,644.60x = 302,291.88 × 101,721.32
  4. Step 4: Simplify right side
    201,644.60x = 30,749,529,058.88
  5. Step 5: Solve for x
    x = 30,749,529,058.88/201,644.60
  6. Step 6: Final answer
    x = 152,493.69

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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.