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Finding the Fourth Proportional to 225,054.24, 310,469.13 and 160,537.74

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Solution

The fourth proportional to 225,054.24, 310,469.13 and 160,537.74 is: 221,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,054.24 : 310,469.13 = 160,537.74 : x
  2. Step 2: Convert to fraction form
    225,054.24/310,469.13 = 160,537.74/x
  3. Step 3: Cross multiply
    225,054.24x = 310,469.13 × 160,537.74
  4. Step 4: Simplify right side
    225,054.24x = 49,842,012,469.97
  5. Step 5: Solve for x
    x = 49,842,012,469.97/225,054.24
  6. Step 6: Final answer
    x = 221,466.67

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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.