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Finding the Fourth Proportional to 213,911.76, 295,201.74 and 117,114

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Solution

The fourth proportional to 213,911.76, 295,201.74 and 117,114 is: 161,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,911.76 : 295,201.74 = 117,114 : x
  2. Step 2: Convert to fraction form
    213,911.76/295,201.74 = 117,114/x
  3. Step 3: Cross multiply
    213,911.76x = 295,201.74 × 117,114
  4. Step 4: Simplify right side
    213,911.76x = 34,572,256,578.36
  5. Step 5: Solve for x
    x = 34,572,256,578.36/213,911.76
  6. Step 6: Final answer
    x = 161,619.24

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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.