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Finding the Fourth Proportional to 234,643.74, 352,070.25 and 108,216

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Solution

The fourth proportional to 234,643.74, 352,070.25 and 108,216 is: 162,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,643.74 : 352,070.25 = 108,216 : x
  2. Step 2: Convert to fraction form
    234,643.74/352,070.25 = 108,216/x
  3. Step 3: Cross multiply
    234,643.74x = 352,070.25 × 108,216
  4. Step 4: Simplify right side
    234,643.74x = 38,099,633,768.19
  5. Step 5: Solve for x
    x = 38,099,633,768.19/234,643.74
  6. Step 6: Final answer
    x = 162,372.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.