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Finding the Fourth Proportional to 242,445.89, 334,403.25 and 205,894.97

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Solution

The fourth proportional to 242,445.89, 334,403.25 and 205,894.97 is: 283,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,445.89 : 334,403.25 = 205,894.97 : x
  2. Step 2: Convert to fraction form
    242,445.89/334,403.25 = 205,894.97/x
  3. Step 3: Cross multiply
    242,445.89x = 334,403.25 × 205,894.97
  4. Step 4: Simplify right side
    242,445.89x = 68,851,945,454.64
  5. Step 5: Solve for x
    x = 68,851,945,454.64/242,445.89
  6. Step 6: Final answer
    x = 283,988.92

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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.