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Finding the Fourth Proportional to 214,596.15, 296,137.04 and 119,100.39

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Solution

The fourth proportional to 214,596.15, 296,137.04 and 119,100.39 is: 164,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596.15 : 296,137.04 = 119,100.39 : x
  2. Step 2: Convert to fraction form
    214,596.15/296,137.04 = 119,100.39/x
  3. Step 3: Cross multiply
    214,596.15x = 296,137.04 × 119,100.39
  4. Step 4: Simplify right side
    214,596.15x = 35,270,036,957.45
  5. Step 5: Solve for x
    x = 35,270,036,957.45/214,596.15
  6. Step 6: Final answer
    x = 164,355.40

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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.