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Finding the Fourth Proportional to 214,116.85, 295,469.62 and 118,617.85

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Solution

The fourth proportional to 214,116.85, 295,469.62 and 118,617.85 is: 163,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,116.85 : 295,469.62 = 118,617.85 : x
  2. Step 2: Convert to fraction form
    214,116.85/295,469.62 = 118,617.85/x
  3. Step 3: Cross multiply
    214,116.85x = 295,469.62 × 118,617.85
  4. Step 4: Simplify right side
    214,116.85x = 35,047,971,137.51
  5. Step 5: Solve for x
    x = 35,047,971,137.51/214,116.85
  6. Step 6: Final answer
    x = 163,686.19

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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.