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Finding the Fourth Proportional to 263,346, 363,418.20 and 144,114

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Solution

The fourth proportional to 263,346, 363,418.20 and 144,114 is: 198,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,346 : 363,418.20 = 144,114 : x
  2. Step 2: Convert to fraction form
    263,346/363,418.20 = 144,114/x
  3. Step 3: Cross multiply
    263,346x = 363,418.20 × 144,114
  4. Step 4: Simplify right side
    263,346x = 52,373,650,474.80
  5. Step 5: Solve for x
    x = 52,373,650,474.80/263,346
  6. Step 6: Final answer
    x = 198,877.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.