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Finding the Fourth Proportional to 164,101.06, 246,151.47 and 39,442.06

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Solution

The fourth proportional to 164,101.06, 246,151.47 and 39,442.06 is: 59,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,101.06 : 246,151.47 = 39,442.06 : x
  2. Step 2: Convert to fraction form
    164,101.06/246,151.47 = 39,442.06/x
  3. Step 3: Cross multiply
    164,101.06x = 246,151.47 × 39,442.06
  4. Step 4: Simplify right side
    164,101.06x = 9,708,721,048.83
  5. Step 5: Solve for x
    x = 9,708,721,048.83/164,101.06
  6. Step 6: Final answer
    x = 59,163.06

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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.