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Finding the Fourth Proportional to 214,770.69, 296,375.40 and 119,283.51

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Solution

The fourth proportional to 214,770.69, 296,375.40 and 119,283.51 is: 164,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,770.69 : 296,375.40 = 119,283.51 : x
  2. Step 2: Convert to fraction form
    214,770.69/296,375.40 = 119,283.51/x
  3. Step 3: Cross multiply
    214,770.69x = 296,375.40 × 119,283.51
  4. Step 4: Simplify right side
    214,770.69x = 35,352,697,989.65
  5. Step 5: Solve for x
    x = 35,352,697,989.65/214,770.69
  6. Step 6: Final answer
    x = 164,606.72

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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.