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Finding the Fourth Proportional to 225,823.64, 338,735.60 and 57,356.60

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Solution

The fourth proportional to 225,823.64, 338,735.60 and 57,356.60 is: 86,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,823.64 : 338,735.60 = 57,356.60 : x
  2. Step 2: Convert to fraction form
    225,823.64/338,735.60 = 57,356.60/x
  3. Step 3: Cross multiply
    225,823.64x = 338,735.60 × 57,356.60
  4. Step 4: Simplify right side
    225,823.64x = 19,428,722,028.18
  5. Step 5: Solve for x
    x = 19,428,722,028.18/225,823.64
  6. Step 6: Final answer
    x = 86,034.93

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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.