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Finding the Fourth Proportional to 214,994.76, 296,696.33 and 118,202.71

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Solution

The fourth proportional to 214,994.76, 296,696.33 and 118,202.71 is: 163,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,994.76 : 296,696.33 = 118,202.71 : x
  2. Step 2: Convert to fraction form
    214,994.76/296,696.33 = 118,202.71/x
  3. Step 3: Cross multiply
    214,994.76x = 296,696.33 × 118,202.71
  4. Step 4: Simplify right side
    214,994.76x = 35,070,309,662.04
  5. Step 5: Solve for x
    x = 35,070,309,662.04/214,994.76
  6. Step 6: Final answer
    x = 163,121.69

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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.