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Finding the Fourth Proportional to 202,649.72, 303,979.80 and 96,008.72

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Solution

The fourth proportional to 202,649.72, 303,979.80 and 96,008.72 is: 144,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,649.72 : 303,979.80 = 96,008.72 : x
  2. Step 2: Convert to fraction form
    202,649.72/303,979.80 = 96,008.72/x
  3. Step 3: Cross multiply
    202,649.72x = 303,979.80 × 96,008.72
  4. Step 4: Simplify right side
    202,649.72x = 29,184,711,503.86
  5. Step 5: Solve for x
    x = 29,184,711,503.86/202,649.72
  6. Step 6: Final answer
    x = 144,015.55

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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.