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Finding the Fourth Proportional to 106,163.61, 146,501.38 and 57,765.74

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Solution

The fourth proportional to 106,163.61, 146,501.38 and 57,765.74 is: 79,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,163.61 : 146,501.38 = 57,765.74 : x
  2. Step 2: Convert to fraction form
    106,163.61/146,501.38 = 57,765.74/x
  3. Step 3: Cross multiply
    106,163.61x = 146,501.38 × 57,765.74
  4. Step 4: Simplify right side
    106,163.61x = 8,462,759,749.80
  5. Step 5: Solve for x
    x = 8,462,759,749.80/106,163.61
  6. Step 6: Final answer
    x = 79,714.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.