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Finding the Fourth Proportional to 117,146.86, 175,792.48 and 46,057

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Solution

The fourth proportional to 117,146.86, 175,792.48 and 46,057 is: 69,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,146.86 : 175,792.48 = 46,057 : x
  2. Step 2: Convert to fraction form
    117,146.86/175,792.48 = 46,057/x
  3. Step 3: Cross multiply
    117,146.86x = 175,792.48 × 46,057
  4. Step 4: Simplify right side
    117,146.86x = 8,096,474,251.36
  5. Step 5: Solve for x
    x = 8,096,474,251.36/117,146.86
  6. Step 6: Final answer
    x = 69,113.88

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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.