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Finding the Fourth Proportional to 235,751.31, 325,718.01 and 164,449.85

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Solution

The fourth proportional to 235,751.31, 325,718.01 and 164,449.85 is: 227,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,751.31 : 325,718.01 = 164,449.85 : x
  2. Step 2: Convert to fraction form
    235,751.31/325,718.01 = 164,449.85/x
  3. Step 3: Cross multiply
    235,751.31x = 325,718.01 × 164,449.85
  4. Step 4: Simplify right side
    235,751.31x = 53,564,276,258.21
  5. Step 5: Solve for x
    x = 53,564,276,258.21/235,751.31
  6. Step 6: Final answer
    x = 227,206.70

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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.