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Finding the Fourth Proportional to 119,951.69, 179,927.77 and 31,205.06

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Solution

The fourth proportional to 119,951.69, 179,927.77 and 31,205.06 is: 46,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,951.69 : 179,927.77 = 31,205.06 : x
  2. Step 2: Convert to fraction form
    119,951.69/179,927.77 = 31,205.06/x
  3. Step 3: Cross multiply
    119,951.69x = 179,927.77 × 31,205.06
  4. Step 4: Simplify right side
    119,951.69x = 5,614,655,880.86
  5. Step 5: Solve for x
    x = 5,614,655,880.86/119,951.69
  6. Step 6: Final answer
    x = 46,807.64

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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.