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Finding the Fourth Proportional to 220,167.81, 303,831.58 and 119,565.81

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Solution

The fourth proportional to 220,167.81, 303,831.58 and 119,565.81 is: 165,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,167.81 : 303,831.58 = 119,565.81 : x
  2. Step 2: Convert to fraction form
    220,167.81/303,831.58 = 119,565.81/x
  3. Step 3: Cross multiply
    220,167.81x = 303,831.58 × 119,565.81
  4. Step 4: Simplify right side
    220,167.81x = 36,327,868,966.28
  5. Step 5: Solve for x
    x = 36,327,868,966.28/220,167.81
  6. Step 6: Final answer
    x = 165,000.82

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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.