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Finding the Fourth Proportional to 242,629.68, 363,944.52 and 94,782

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Solution

The fourth proportional to 242,629.68, 363,944.52 and 94,782 is: 142,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,629.68 : 363,944.52 = 94,782 : x
  2. Step 2: Convert to fraction form
    242,629.68/363,944.52 = 94,782/x
  3. Step 3: Cross multiply
    242,629.68x = 363,944.52 × 94,782
  4. Step 4: Simplify right side
    242,629.68x = 34,495,389,494.64
  5. Step 5: Solve for x
    x = 34,495,389,494.64/242,629.68
  6. Step 6: Final answer
    x = 142,173

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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.