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Finding the Fourth Proportional to 214,455.30, 295,943.67 and 118,959.90

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Solution

The fourth proportional to 214,455.30, 295,943.67 and 118,959.90 is: 164,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,455.30 : 295,943.67 = 118,959.90 : x
  2. Step 2: Convert to fraction form
    214,455.30/295,943.67 = 118,959.90/x
  3. Step 3: Cross multiply
    214,455.30x = 295,943.67 × 118,959.90
  4. Step 4: Simplify right side
    214,455.30x = 35,205,429,388.83
  5. Step 5: Solve for x
    x = 35,205,429,388.83/214,455.30
  6. Step 6: Final answer
    x = 164,162.09

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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.