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Finding the Fourth Proportional to 223,082.34, 334,619.37 and 89,959.74

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Solution

The fourth proportional to 223,082.34, 334,619.37 and 89,959.74 is: 134,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,082.34 : 334,619.37 = 89,959.74 : x
  2. Step 2: Convert to fraction form
    223,082.34/334,619.37 = 89,959.74/x
  3. Step 3: Cross multiply
    223,082.34x = 334,619.37 × 89,959.74
  4. Step 4: Simplify right side
    223,082.34x = 30,102,271,524.16
  5. Step 5: Solve for x
    x = 30,102,271,524.16/223,082.34
  6. Step 6: Final answer
    x = 134,937.94

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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.