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Finding the Fourth Proportional to 255,564.92, 352,682.00 and 140,847.71

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Solution

The fourth proportional to 255,564.92, 352,682.00 and 140,847.71 is: 194,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564.92 : 352,682.00 = 140,847.71 : x
  2. Step 2: Convert to fraction form
    255,564.92/352,682.00 = 140,847.71/x
  3. Step 3: Cross multiply
    255,564.92x = 352,682.00 × 140,847.71
  4. Step 4: Simplify right side
    255,564.92x = 49,674,450,911.02
  5. Step 5: Solve for x
    x = 49,674,450,911.02/255,564.92
  6. Step 6: Final answer
    x = 194,371.16

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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.