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Finding the Fourth Proportional to 218,916.57, 302,105.40 and 118,314.57

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Solution

The fourth proportional to 218,916.57, 302,105.40 and 118,314.57 is: 163,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,916.57 : 302,105.40 = 118,314.57 : x
  2. Step 2: Convert to fraction form
    218,916.57/302,105.40 = 118,314.57/x
  3. Step 3: Cross multiply
    218,916.57x = 302,105.40 × 118,314.57
  4. Step 4: Simplify right side
    218,916.57x = 35,743,470,495.68
  5. Step 5: Solve for x
    x = 35,743,470,495.68/218,916.57
  6. Step 6: Final answer
    x = 163,274.39

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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.