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Finding the Fourth Proportional to 280,196, 419,923.66 and 102,531.96

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Solution

The fourth proportional to 280,196, 419,923.66 and 102,531.96 is: 153,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,196 : 419,923.66 = 102,531.96 : x
  2. Step 2: Convert to fraction form
    280,196/419,923.66 = 102,531.96/x
  3. Step 3: Cross multiply
    280,196x = 419,923.66 × 102,531.96
  4. Step 4: Simplify right side
    280,196x = 43,055,595,910.17
  5. Step 5: Solve for x
    x = 43,055,595,910.17/280,196
  6. Step 6: Final answer
    x = 153,662.42

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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.