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Finding the Fourth Proportional to 263,750.53, 363,975.22 and 142,894.83

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Solution

The fourth proportional to 263,750.53, 363,975.22 and 142,894.83 is: 197,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,750.53 : 363,975.22 = 142,894.83 : x
  2. Step 2: Convert to fraction form
    263,750.53/363,975.22 = 142,894.83/x
  3. Step 3: Cross multiply
    263,750.53x = 363,975.22 × 142,894.83
  4. Step 4: Simplify right side
    263,750.53x = 52,010,177,186.11
  5. Step 5: Solve for x
    x = 52,010,177,186.11/263,750.53
  6. Step 6: Final answer
    x = 197,194.59

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1.5x scale

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.