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Finding the Fourth Proportional to 182,458.38, 251,721.06 and 105,964.40

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Solution

The fourth proportional to 182,458.38, 251,721.06 and 105,964.40 is: 146,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,458.38 : 251,721.06 = 105,964.40 : x
  2. Step 2: Convert to fraction form
    182,458.38/251,721.06 = 105,964.40/x
  3. Step 3: Cross multiply
    182,458.38x = 251,721.06 × 105,964.40
  4. Step 4: Simplify right side
    182,458.38x = 26,673,471,090.26
  5. Step 5: Solve for x
    x = 26,673,471,090.26/182,458.38
  6. Step 6: Final answer
    x = 146,189.35

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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.