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Finding the Fourth Proportional to 225,505.47, 338,369.34 and 105,570.54

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Solution

The fourth proportional to 225,505.47, 338,369.34 and 105,570.54 is: 158,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,505.47 : 338,369.34 = 105,570.54 : x
  2. Step 2: Convert to fraction form
    225,505.47/338,369.34 = 105,570.54/x
  3. Step 3: Cross multiply
    225,505.47x = 338,369.34 × 105,570.54
  4. Step 4: Simplify right side
    225,505.47x = 35,721,833,943.24
  5. Step 5: Solve for x
    x = 35,721,833,943.24/225,505.47
  6. Step 6: Final answer
    x = 158,407.84

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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.