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Finding the Fourth Proportional to 214,186.76, 295,579.38 and 118,695

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Solution

The fourth proportional to 214,186.76, 295,579.38 and 118,695 is: 163,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,186.76 : 295,579.38 = 118,695 : x
  2. Step 2: Convert to fraction form
    214,186.76/295,579.38 = 118,695/x
  3. Step 3: Cross multiply
    214,186.76x = 295,579.38 × 118,695
  4. Step 4: Simplify right side
    214,186.76x = 35,083,794,509.10
  5. Step 5: Solve for x
    x = 35,083,794,509.10/214,186.76
  6. Step 6: Final answer
    x = 163,800.02

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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.