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Finding the Fourth Proportional to 192,663.42, 288,965.94 and 52,432.98

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Solution

The fourth proportional to 192,663.42, 288,965.94 and 52,432.98 is: 78,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,663.42 : 288,965.94 = 52,432.98 : x
  2. Step 2: Convert to fraction form
    192,663.42/288,965.94 = 52,432.98/x
  3. Step 3: Cross multiply
    192,663.42x = 288,965.94 × 52,432.98
  4. Step 4: Simplify right side
    192,663.42x = 15,151,345,352.70
  5. Step 5: Solve for x
    x = 15,151,345,352.70/192,663.42
  6. Step 6: Final answer
    x = 78,641.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.