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Finding the Fourth Proportional to 263,632.50, 363,810.92 and 142,770.98

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Solution

The fourth proportional to 263,632.50, 363,810.92 and 142,770.98 is: 197,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,632.50 : 363,810.92 = 142,770.98 : x
  2. Step 2: Convert to fraction form
    263,632.50/363,810.92 = 142,770.98/x
  3. Step 3: Cross multiply
    263,632.50x = 363,810.92 × 142,770.98
  4. Step 4: Simplify right side
    263,632.50x = 51,941,639,050.19
  5. Step 5: Solve for x
    x = 51,941,639,050.19/263,632.50
  6. Step 6: Final answer
    x = 197,022.90

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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.