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Finding the Fourth Proportional to 214,597.10, 296,138.22 and 117,801.02

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Solution

The fourth proportional to 214,597.10, 296,138.22 and 117,801.02 is: 162,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,597.10 : 296,138.22 = 117,801.02 : x
  2. Step 2: Convert to fraction form
    214,597.10/296,138.22 = 117,801.02/x
  3. Step 3: Cross multiply
    214,597.10x = 296,138.22 × 117,801.02
  4. Step 4: Simplify right side
    214,597.10x = 34,885,384,376.98
  5. Step 5: Solve for x
    x = 34,885,384,376.98/214,597.10
  6. Step 6: Final answer
    x = 162,562.24

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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.