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Finding the Fourth Proportional to 255,991.86, 353,266.29 and 141,271.56

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Solution

The fourth proportional to 255,991.86, 353,266.29 and 141,271.56 is: 194,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,991.86 : 353,266.29 = 141,271.56 : x
  2. Step 2: Convert to fraction form
    255,991.86/353,266.29 = 141,271.56/x
  3. Step 3: Cross multiply
    255,991.86x = 353,266.29 × 141,271.56
  4. Step 4: Simplify right side
    255,991.86x = 49,906,479,883.71
  5. Step 5: Solve for x
    x = 49,906,479,883.71/255,991.86
  6. Step 6: Final answer
    x = 194,953.39

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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.