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Finding the Fourth Proportional to 114,694.76, 172,083.42 and 51,509.96

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Solution

The fourth proportional to 114,694.76, 172,083.42 and 51,509.96 is: 77,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,694.76 : 172,083.42 = 51,509.96 : x
  2. Step 2: Convert to fraction form
    114,694.76/172,083.42 = 51,509.96/x
  3. Step 3: Cross multiply
    114,694.76x = 172,083.42 × 51,509.96
  4. Step 4: Simplify right side
    114,694.76x = 8,864,010,080.86
  5. Step 5: Solve for x
    x = 8,864,010,080.86/114,694.76
  6. Step 6: Final answer
    x = 77,283.48

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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.