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Finding the Fourth Proportional to 501,098.84, 751,568.24 and 146,029.80

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Solution

The fourth proportional to 501,098.84, 751,568.24 and 146,029.80 is: 219,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,098.84 : 751,568.24 = 146,029.80 : x
  2. Step 2: Convert to fraction form
    501,098.84/751,568.24 = 146,029.80/x
  3. Step 3: Cross multiply
    501,098.84x = 751,568.24 × 146,029.80
  4. Step 4: Simplify right side
    501,098.84x = 109,751,362,017.55
  5. Step 5: Solve for x
    x = 109,751,362,017.55/501,098.84
  6. Step 6: Final answer
    x = 219,021.39

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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.