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Finding the Fourth Proportional to 217,176.30, 325,764.45 and 164,688.30

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Solution

The fourth proportional to 217,176.30, 325,764.45 and 164,688.30 is: 247,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,176.30 : 325,764.45 = 164,688.30 : x
  2. Step 2: Convert to fraction form
    217,176.30/325,764.45 = 164,688.30/x
  3. Step 3: Cross multiply
    217,176.30x = 325,764.45 × 164,688.30
  4. Step 4: Simplify right side
    217,176.30x = 53,649,593,470.94
  5. Step 5: Solve for x
    x = 53,649,593,470.94/217,176.30
  6. Step 6: Final answer
    x = 247,032.45

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1.5x scale

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.