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Finding the Fourth Proportional to 214,493.94, 296,037.05 and 119,031.39

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Solution

The fourth proportional to 214,493.94, 296,037.05 and 119,031.39 is: 164,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,493.94 : 296,037.05 = 119,031.39 : x
  2. Step 2: Convert to fraction form
    214,493.94/296,037.05 = 119,031.39/x
  3. Step 3: Cross multiply
    214,493.94x = 296,037.05 × 119,031.39
  4. Step 4: Simplify right side
    214,493.94x = 35,237,700,957.84
  5. Step 5: Solve for x
    x = 35,237,700,957.84/214,493.94
  6. Step 6: Final answer
    x = 164,282.97

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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.