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Finding the Fourth Proportional to 501,132.88, 751,809.88 and 146,174.68

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Solution

The fourth proportional to 501,132.88, 751,809.88 and 146,174.68 is: 219,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,132.88 : 751,809.88 = 146,174.68 : x
  2. Step 2: Convert to fraction form
    501,132.88/751,809.88 = 146,174.68/x
  3. Step 3: Cross multiply
    501,132.88x = 751,809.88 × 146,174.68
  4. Step 4: Simplify right side
    501,132.88x = 109,895,568,629.84
  5. Step 5: Solve for x
    x = 109,895,568,629.84/501,132.88
  6. Step 6: Final answer
    x = 219,294.27

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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.