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Finding the Fourth Proportional to 202,663.89, 303,831.68 and 84,423.74

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Solution

The fourth proportional to 202,663.89, 303,831.68 and 84,423.74 is: 126,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,663.89 : 303,831.68 = 84,423.74 : x
  2. Step 2: Convert to fraction form
    202,663.89/303,831.68 = 84,423.74/x
  3. Step 3: Cross multiply
    202,663.89x = 303,831.68 × 84,423.74
  4. Step 4: Simplify right side
    202,663.89x = 25,650,604,814.81
  5. Step 5: Solve for x
    x = 25,650,604,814.81/202,663.89
  6. Step 6: Final answer
    x = 126,567.22

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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.