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Finding the Fourth Proportional to 242,824.49, 364,149.26 and 102,594.05

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Solution

The fourth proportional to 242,824.49, 364,149.26 and 102,594.05 is: 153,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,824.49 : 364,149.26 = 102,594.05 : x
  2. Step 2: Convert to fraction form
    242,824.49/364,149.26 = 102,594.05/x
  3. Step 3: Cross multiply
    242,824.49x = 364,149.26 × 102,594.05
  4. Step 4: Simplify right side
    242,824.49x = 37,359,548,170.03
  5. Step 5: Solve for x
    x = 37,359,548,170.03/242,824.49
  6. Step 6: Final answer
    x = 153,854.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.