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Finding the Fourth Proportional to 188,296.48, 282,454.44 and 48,056.32

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Solution

The fourth proportional to 188,296.48, 282,454.44 and 48,056.32 is: 72,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,296.48 : 282,454.44 = 48,056.32 : x
  2. Step 2: Convert to fraction form
    188,296.48/282,454.44 = 48,056.32/x
  3. Step 3: Cross multiply
    188,296.48x = 282,454.44 × 48,056.32
  4. Step 4: Simplify right side
    188,296.48x = 13,573,720,954.06
  5. Step 5: Solve for x
    x = 13,573,720,954.06/188,296.48
  6. Step 6: Final answer
    x = 72,086.96

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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.