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Finding the Fourth Proportional to 213,957.45, 295,270.50 and 118,464.14

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Solution

The fourth proportional to 213,957.45, 295,270.50 and 118,464.14 is: 163,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,957.45 : 295,270.50 = 118,464.14 : x
  2. Step 2: Convert to fraction form
    213,957.45/295,270.50 = 118,464.14/x
  3. Step 3: Cross multiply
    213,957.45x = 295,270.50 × 118,464.14
  4. Step 4: Simplify right side
    213,957.45x = 34,978,965,849.87
  5. Step 5: Solve for x
    x = 34,978,965,849.87/213,957.45
  6. Step 6: Final answer
    x = 163,485.62

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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.