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Finding the Fourth Proportional to 501,871.53, 752,836.49 and 142,012.22

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Solution

The fourth proportional to 501,871.53, 752,836.49 and 142,012.22 is: 213,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,871.53 : 752,836.49 = 142,012.22 : x
  2. Step 2: Convert to fraction form
    501,871.53/752,836.49 = 142,012.22/x
  3. Step 3: Cross multiply
    501,871.53x = 752,836.49 × 142,012.22
  4. Step 4: Simplify right side
    501,871.53x = 106,911,980,531.85
  5. Step 5: Solve for x
    x = 106,911,980,531.85/501,871.53
  6. Step 6: Final answer
    x = 213,026.59

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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.