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Finding the Fourth Proportional to 106,831.34, 160,187.86 and 43,695.79

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Solution

The fourth proportional to 106,831.34, 160,187.86 and 43,695.79 is: 65,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,831.34 : 160,187.86 = 43,695.79 : x
  2. Step 2: Convert to fraction form
    106,831.34/160,187.86 = 43,695.79/x
  3. Step 3: Cross multiply
    106,831.34x = 160,187.86 × 43,695.79
  4. Step 4: Simplify right side
    106,831.34x = 6,999,534,745.26
  5. Step 5: Solve for x
    x = 6,999,534,745.26/106,831.34
  6. Step 6: Final answer
    x = 65,519.49

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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.