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Finding the Fourth Proportional to 182,580.01, 251,917.22 and 106,053.64

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Solution

The fourth proportional to 182,580.01, 251,917.22 and 106,053.64 is: 146,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,580.01 : 251,917.22 = 106,053.64 : x
  2. Step 2: Convert to fraction form
    182,580.01/251,917.22 = 106,053.64/x
  3. Step 3: Cross multiply
    182,580.01x = 251,917.22 × 106,053.64
  4. Step 4: Simplify right side
    182,580.01x = 26,716,738,159.68
  5. Step 5: Solve for x
    x = 26,716,738,159.68/182,580.01
  6. Step 6: Final answer
    x = 146,328.93

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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.