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Finding the Fourth Proportional to 107,303.61, 160,958.79 and 51,149.82

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Solution

The fourth proportional to 107,303.61, 160,958.79 and 51,149.82 is: 76,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,303.61 : 160,958.79 = 51,149.82 : x
  2. Step 2: Convert to fraction form
    107,303.61/160,958.79 = 51,149.82/x
  3. Step 3: Cross multiply
    107,303.61x = 160,958.79 × 51,149.82
  4. Step 4: Simplify right side
    107,303.61x = 8,233,013,135.92
  5. Step 5: Solve for x
    x = 8,233,013,135.92/107,303.61
  6. Step 6: Final answer
    x = 76,726.34

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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.