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Finding the Fourth Proportional to 281,795.86, 422,737.53 and 94,792.78

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Solution

The fourth proportional to 281,795.86, 422,737.53 and 94,792.78 is: 142,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,795.86 : 422,737.53 = 94,792.78 : x
  2. Step 2: Convert to fraction form
    281,795.86/422,737.53 = 94,792.78/x
  3. Step 3: Cross multiply
    281,795.86x = 422,737.53 × 94,792.78
  4. Step 4: Simplify right side
    281,795.86x = 40,072,466,385.19
  5. Step 5: Solve for x
    x = 40,072,466,385.19/281,795.86
  6. Step 6: Final answer
    x = 142,203.89

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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.