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Finding the Fourth Proportional to 225,975.60, 312,258.92 and 164,615.00

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Solution

The fourth proportional to 225,975.60, 312,258.92 and 164,615.00 is: 227,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,975.60 : 312,258.92 = 164,615.00 : x
  2. Step 2: Convert to fraction form
    225,975.60/312,258.92 = 164,615.00/x
  3. Step 3: Cross multiply
    225,975.60x = 312,258.92 × 164,615.00
  4. Step 4: Simplify right side
    225,975.60x = 51,402,499,731.43
  5. Step 5: Solve for x
    x = 51,402,499,731.43/225,975.60
  6. Step 6: Final answer
    x = 227,469.25

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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.