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Finding the Fourth Proportional to 255,645.93, 352,791.33 and 140,926.50

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Solution

The fourth proportional to 255,645.93, 352,791.33 and 140,926.50 is: 194,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,645.93 : 352,791.33 = 140,926.50 : x
  2. Step 2: Convert to fraction form
    255,645.93/352,791.33 = 140,926.50/x
  3. Step 3: Cross multiply
    255,645.93x = 352,791.33 × 140,926.50
  4. Step 4: Simplify right side
    255,645.93x = 49,717,646,838.77
  5. Step 5: Solve for x
    x = 49,717,646,838.77/255,645.93
  6. Step 6: Final answer
    x = 194,478.54

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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.