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Finding the Fourth Proportional to 188,644.53, 282,967 and 48,403.16

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Solution

The fourth proportional to 188,644.53, 282,967 and 48,403.16 is: 72,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,644.53 : 282,967 = 48,403.16 : x
  2. Step 2: Convert to fraction form
    188,644.53/282,967 = 48,403.16/x
  3. Step 3: Cross multiply
    188,644.53x = 282,967 × 48,403.16
  4. Step 4: Simplify right side
    188,644.53x = 13,696,496,975.72
  5. Step 5: Solve for x
    x = 13,696,496,975.72/188,644.53
  6. Step 6: Final answer
    x = 72,604.79

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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.