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Finding the Fourth Proportional to 501,100.68, 751,571 and 146,031.64

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Solution

The fourth proportional to 501,100.68, 751,571 and 146,031.64 is: 219,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,100.68 : 751,571 = 146,031.64 : x
  2. Step 2: Convert to fraction form
    501,100.68/751,571 = 146,031.64/x
  3. Step 3: Cross multiply
    501,100.68x = 751,571 × 146,031.64
  4. Step 4: Simplify right side
    501,100.68x = 109,753,145,706.44
  5. Step 5: Solve for x
    x = 109,753,145,706.44/501,100.68
  6. Step 6: Final answer
    x = 219,024.14

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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.