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Finding the Fourth Proportional to 214,495.96, 296,039.78 and 119,033.44

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Solution

The fourth proportional to 214,495.96, 296,039.78 and 119,033.44 is: 164,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,495.96 : 296,039.78 = 119,033.44 : x
  2. Step 2: Convert to fraction form
    214,495.96/296,039.78 = 119,033.44/x
  3. Step 3: Cross multiply
    214,495.96x = 296,039.78 × 119,033.44
  4. Step 4: Simplify right side
    214,495.96x = 35,238,633,390.24
  5. Step 5: Solve for x
    x = 35,238,633,390.24/214,495.96
  6. Step 6: Final answer
    x = 164,285.77

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1.5x scale

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.