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Finding the Fourth Proportional to 214,400.96, 295,865.80 and 118,916.48

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Solution

The fourth proportional to 214,400.96, 295,865.80 and 118,916.48 is: 164,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,400.96 : 295,865.80 = 118,916.48 : x
  2. Step 2: Convert to fraction form
    214,400.96/295,865.80 = 118,916.48/x
  3. Step 3: Cross multiply
    214,400.96x = 295,865.80 × 118,916.48
  4. Step 4: Simplify right side
    214,400.96x = 35,183,319,488.38
  5. Step 5: Solve for x
    x = 35,183,319,488.38/214,400.96
  6. Step 6: Final answer
    x = 164,100.57

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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.