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Finding the Fourth Proportional to 160,840.38, 221,814.39 and 100,416.54

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Solution

The fourth proportional to 160,840.38, 221,814.39 and 100,416.54 is: 138,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,840.38 : 221,814.39 = 100,416.54 : x
  2. Step 2: Convert to fraction form
    160,840.38/221,814.39 = 100,416.54/x
  3. Step 3: Cross multiply
    160,840.38x = 221,814.39 × 100,416.54
  4. Step 4: Simplify right side
    160,840.38x = 22,273,833,566.01
  5. Step 5: Solve for x
    x = 22,273,833,566.01/160,840.38
  6. Step 6: Final answer
    x = 138,484.09

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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.