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Finding the Fourth Proportional to 255,922.31, 353,171.81 and 141,208.10

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Solution

The fourth proportional to 255,922.31, 353,171.81 and 141,208.10 is: 194,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,922.31 : 353,171.81 = 141,208.10 : x
  2. Step 2: Convert to fraction form
    255,922.31/353,171.81 = 141,208.10/x
  3. Step 3: Cross multiply
    255,922.31x = 353,171.81 × 141,208.10
  4. Step 4: Simplify right side
    255,922.31x = 49,870,717,791.76
  5. Step 5: Solve for x
    x = 49,870,717,791.76/255,922.31
  6. Step 6: Final answer
    x = 194,866.63

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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.