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Finding the Fourth Proportional to 214,137.72, 295,506.21 and 118,642.50

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Solution

The fourth proportional to 214,137.72, 295,506.21 and 118,642.50 is: 163,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,137.72 : 295,506.21 = 118,642.50 : x
  2. Step 2: Convert to fraction form
    214,137.72/295,506.21 = 118,642.50/x
  3. Step 3: Cross multiply
    214,137.72x = 295,506.21 × 118,642.50
  4. Step 4: Simplify right side
    214,137.72x = 35,059,595,519.93
  5. Step 5: Solve for x
    x = 35,059,595,519.93/214,137.72
  6. Step 6: Final answer
    x = 163,724.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.