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Finding the Fourth Proportional to 150,424, 207,586.56 and 83,357.44

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Solution

The fourth proportional to 150,424, 207,586.56 and 83,357.44 is: 115,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,424 : 207,586.56 = 83,357.44 : x
  2. Step 2: Convert to fraction form
    150,424/207,586.56 = 83,357.44/x
  3. Step 3: Cross multiply
    150,424x = 207,586.56 × 83,357.44
  4. Step 4: Simplify right side
    150,424x = 17,303,884,220.01
  5. Step 5: Solve for x
    x = 17,303,884,220.01/150,424
  6. Step 6: Final answer
    x = 115,034.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.