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Finding the Fourth Proportional to 214,530.93, 296,059.35 and 119,046.51

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Solution

The fourth proportional to 214,530.93, 296,059.35 and 119,046.51 is: 164,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,530.93 : 296,059.35 = 119,046.51 : x
  2. Step 2: Convert to fraction form
    214,530.93/296,059.35 = 119,046.51/x
  3. Step 3: Cross multiply
    214,530.93x = 296,059.35 × 119,046.51
  4. Step 4: Simplify right side
    214,530.93x = 35,244,832,816.79
  5. Step 5: Solve for x
    x = 35,244,832,816.79/214,530.93
  6. Step 6: Final answer
    x = 164,287.89

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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.