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Finding the Fourth Proportional to 357,133.50, 535,694.37 and 143,896.22

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Solution

The fourth proportional to 357,133.50, 535,694.37 and 143,896.22 is: 215,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,133.50 : 535,694.37 = 143,896.22 : x
  2. Step 2: Convert to fraction form
    357,133.50/535,694.37 = 143,896.22/x
  3. Step 3: Cross multiply
    357,133.50x = 535,694.37 × 143,896.22
  4. Step 4: Simplify right side
    357,133.50x = 77,084,394,918.28
  5. Step 5: Solve for x
    x = 77,084,394,918.28/357,133.50
  6. Step 6: Final answer
    x = 215,841.96

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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.