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Finding the Fourth Proportional to 222,977.21, 334,516.86 and 96,638.67

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Solution

The fourth proportional to 222,977.21, 334,516.86 and 96,638.67 is: 144,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,977.21 : 334,516.86 = 96,638.67 : x
  2. Step 2: Convert to fraction form
    222,977.21/334,516.86 = 96,638.67/x
  3. Step 3: Cross multiply
    222,977.21x = 334,516.86 × 96,638.67
  4. Step 4: Simplify right side
    222,977.21x = 32,327,264,442.98
  5. Step 5: Solve for x
    x = 32,327,264,442.98/222,977.21
  6. Step 6: Final answer
    x = 144,980.13

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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.