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Finding the Fourth Proportional to 214,643.72, 296,193.52 and 119,142.90

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Solution

The fourth proportional to 214,643.72, 296,193.52 and 119,142.90 is: 164,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643.72 : 296,193.52 = 119,142.90 : x
  2. Step 2: Convert to fraction form
    214,643.72/296,193.52 = 119,142.90/x
  3. Step 3: Cross multiply
    214,643.72x = 296,193.52 × 119,142.90
  4. Step 4: Simplify right side
    214,643.72x = 35,289,354,934.01
  5. Step 5: Solve for x
    x = 35,289,354,934.01/214,643.72
  6. Step 6: Final answer
    x = 164,408.98

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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.