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Finding the Fourth Proportional to 242,710.16, 363,584.66 and 114,450.84

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Solution

The fourth proportional to 242,710.16, 363,584.66 and 114,450.84 is: 171,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,710.16 : 363,584.66 = 114,450.84 : x
  2. Step 2: Convert to fraction form
    242,710.16/363,584.66 = 114,450.84/x
  3. Step 3: Cross multiply
    242,710.16x = 363,584.66 × 114,450.84
  4. Step 4: Simplify right side
    242,710.16x = 41,612,569,175.86
  5. Step 5: Solve for x
    x = 41,612,569,175.86/242,710.16
  6. Step 6: Final answer
    x = 171,449.64

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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.