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Finding the Fourth Proportional to 118,916.07, 164,114.53 and 65,211.56

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Solution

The fourth proportional to 118,916.07, 164,114.53 and 65,211.56 is: 89,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,916.07 : 164,114.53 = 65,211.56 : x
  2. Step 2: Convert to fraction form
    118,916.07/164,114.53 = 65,211.56/x
  3. Step 3: Cross multiply
    118,916.07x = 164,114.53 × 65,211.56
  4. Step 4: Simplify right side
    118,916.07x = 10,702,163,873.63
  5. Step 5: Solve for x
    x = 10,702,163,873.63/118,916.07
  6. Step 6: Final answer
    x = 89,997.62

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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.