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Finding the Fourth Proportional to 214,704.96, 296,283.87 and 119,205.96

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Solution

The fourth proportional to 214,704.96, 296,283.87 and 119,205.96 is: 164,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,704.96 : 296,283.87 = 119,205.96 : x
  2. Step 2: Convert to fraction form
    214,704.96/296,283.87 = 119,205.96/x
  3. Step 3: Cross multiply
    214,704.96x = 296,283.87 × 119,205.96
  4. Step 4: Simplify right side
    214,704.96x = 35,318,803,155.87
  5. Step 5: Solve for x
    x = 35,318,803,155.87/214,704.96
  6. Step 6: Final answer
    x = 164,499.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.