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Finding the Fourth Proportional to 169,831.14, 254,755.21 and 64,658.31

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Solution

The fourth proportional to 169,831.14, 254,755.21 and 64,658.31 is: 96,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,831.14 : 254,755.21 = 64,658.31 : x
  2. Step 2: Convert to fraction form
    169,831.14/254,755.21 = 64,658.31/x
  3. Step 3: Cross multiply
    169,831.14x = 254,755.21 × 64,658.31
  4. Step 4: Simplify right side
    169,831.14x = 16,472,041,342.30
  5. Step 5: Solve for x
    x = 16,472,041,342.30/169,831.14
  6. Step 6: Final answer
    x = 96,990.70

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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.