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Finding the Fourth Proportional to 255,585.94, 352,694.19 and 140,864.22

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Solution

The fourth proportional to 255,585.94, 352,694.19 and 140,864.22 is: 194,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,585.94 : 352,694.19 = 140,864.22 : x
  2. Step 2: Convert to fraction form
    255,585.94/352,694.19 = 140,864.22/x
  3. Step 3: Cross multiply
    255,585.94x = 352,694.19 × 140,864.22
  4. Step 4: Simplify right side
    255,585.94x = 49,681,991,972.88
  5. Step 5: Solve for x
    x = 49,681,991,972.88/255,585.94
  6. Step 6: Final answer
    x = 194,384.68

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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.