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Finding the Fourth Proportional to 188,152.86, 282,232.17 and 47,914.14

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Solution

The fourth proportional to 188,152.86, 282,232.17 and 47,914.14 is: 71,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,152.86 : 282,232.17 = 47,914.14 : x
  2. Step 2: Convert to fraction form
    188,152.86/282,232.17 = 47,914.14/x
  3. Step 3: Cross multiply
    188,152.86x = 282,232.17 × 47,914.14
  4. Step 4: Simplify right side
    188,152.86x = 13,522,911,705.88
  5. Step 5: Solve for x
    x = 13,522,911,705.88/188,152.86
  6. Step 6: Final answer
    x = 71,871.94

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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.