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Finding the Fourth Proportional to 270,285.26, 405,365.01 and 101,822.47

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Solution

The fourth proportional to 270,285.26, 405,365.01 and 101,822.47 is: 152,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,285.26 : 405,365.01 = 101,822.47 : x
  2. Step 2: Convert to fraction form
    270,285.26/405,365.01 = 101,822.47/x
  3. Step 3: Cross multiply
    270,285.26x = 405,365.01 × 101,822.47
  4. Step 4: Simplify right side
    270,285.26x = 41,275,265,174.53
  5. Step 5: Solve for x
    x = 41,275,265,174.53/270,285.26
  6. Step 6: Final answer
    x = 152,710.01

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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.