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Finding the Fourth Proportional to 117,693.59, 176,440.82 and 51,083.64

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Solution

The fourth proportional to 117,693.59, 176,440.82 and 51,083.64 is: 76,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.59 : 176,440.82 = 51,083.64 : x
  2. Step 2: Convert to fraction form
    117,693.59/176,440.82 = 51,083.64/x
  3. Step 3: Cross multiply
    117,693.59x = 176,440.82 × 51,083.64
  4. Step 4: Simplify right side
    117,693.59x = 9,013,239,074.77
  5. Step 5: Solve for x
    x = 9,013,239,074.77/117,693.59
  6. Step 6: Final answer
    x = 76,582.25

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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.