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Finding the Fourth Proportional to 188,596.50, 282,911.76 and 48,356.34

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Solution

The fourth proportional to 188,596.50, 282,911.76 and 48,356.34 is: 72,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,596.50 : 282,911.76 = 48,356.34 : x
  2. Step 2: Convert to fraction form
    188,596.50/282,911.76 = 48,356.34/x
  3. Step 3: Cross multiply
    188,596.50x = 282,911.76 × 48,356.34
  4. Step 4: Simplify right side
    188,596.50x = 13,680,577,256.56
  5. Step 5: Solve for x
    x = 13,680,577,256.56/188,596.50
  6. Step 6: Final answer
    x = 72,538.87

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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.