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Finding the Fourth Proportional to 223,324.29, 334,798.05 and 96,869.28

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Solution

The fourth proportional to 223,324.29, 334,798.05 and 96,869.28 is: 145,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,324.29 : 334,798.05 = 96,869.28 : x
  2. Step 2: Convert to fraction form
    223,324.29/334,798.05 = 96,869.28/x
  3. Step 3: Cross multiply
    223,324.29x = 334,798.05 × 96,869.28
  4. Step 4: Simplify right side
    223,324.29x = 32,431,646,048.90
  5. Step 5: Solve for x
    x = 32,431,646,048.90/223,324.29
  6. Step 6: Final answer
    x = 145,222.21

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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.