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Finding the Fourth Proportional to 214,532.98, 296,054.55 and 119,039.45

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Solution

The fourth proportional to 214,532.98, 296,054.55 and 119,039.45 is: 164,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,532.98 : 296,054.55 = 119,039.45 : x
  2. Step 2: Convert to fraction form
    214,532.98/296,054.55 = 119,039.45/x
  3. Step 3: Cross multiply
    214,532.98x = 296,054.55 × 119,039.45
  4. Step 4: Simplify right side
    214,532.98x = 35,242,169,321.72
  5. Step 5: Solve for x
    x = 35,242,169,321.72/214,532.98
  6. Step 6: Final answer
    x = 164,273.90

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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.