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Finding the Fourth Proportional to 223,142.28, 334,642.32 and 73,347.90

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Solution

The fourth proportional to 223,142.28, 334,642.32 and 73,347.90 is: 109,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,142.28 : 334,642.32 = 73,347.90 : x
  2. Step 2: Convert to fraction form
    223,142.28/334,642.32 = 73,347.90/x
  3. Step 3: Cross multiply
    223,142.28x = 334,642.32 × 73,347.90
  4. Step 4: Simplify right side
    223,142.28x = 24,545,311,423.13
  5. Step 5: Solve for x
    x = 24,545,311,423.13/223,142.28
  6. Step 6: Final answer
    x = 109,998.48

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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.