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Finding the Fourth Proportional to 214,654.87, 296,208.88 and 119,154.05

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Solution

The fourth proportional to 214,654.87, 296,208.88 and 119,154.05 is: 164,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,654.87 : 296,208.88 = 119,154.05 : x
  2. Step 2: Convert to fraction form
    214,654.87/296,208.88 = 119,154.05/x
  3. Step 3: Cross multiply
    214,654.87x = 296,208.88 × 119,154.05
  4. Step 4: Simplify right side
    214,654.87x = 35,294,487,029.82
  5. Step 5: Solve for x
    x = 35,294,487,029.82/214,654.87
  6. Step 6: Final answer
    x = 164,424.35

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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.