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Finding the Fourth Proportional to 260,814.38, 359,904.02 and 158,828.54

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Solution

The fourth proportional to 260,814.38, 359,904.02 and 158,828.54 is: 219,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,814.38 : 359,904.02 = 158,828.54 : x
  2. Step 2: Convert to fraction form
    260,814.38/359,904.02 = 158,828.54/x
  3. Step 3: Cross multiply
    260,814.38x = 359,904.02 × 158,828.54
  4. Step 4: Simplify right side
    260,814.38x = 57,163,027,443.07
  5. Step 5: Solve for x
    x = 57,163,027,443.07/260,814.38
  6. Step 6: Final answer
    x = 219,171.31

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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.