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Finding the Fourth Proportional to 214,488.44, 296,029.46 and 119,025.89

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Solution

The fourth proportional to 214,488.44, 296,029.46 and 119,025.89 is: 164,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488.44 : 296,029.46 = 119,025.89 : x
  2. Step 2: Convert to fraction form
    214,488.44/296,029.46 = 119,025.89/x
  3. Step 3: Cross multiply
    214,488.44x = 296,029.46 × 119,025.89
  4. Step 4: Simplify right side
    214,488.44x = 35,235,169,347.59
  5. Step 5: Solve for x
    x = 35,235,169,347.59/214,488.44
  6. Step 6: Final answer
    x = 164,275.38

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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.