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Finding the Fourth Proportional to 213,556.16, 294,713.69 and 118,069.04

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Solution

The fourth proportional to 213,556.16, 294,713.69 and 118,069.04 is: 162,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,556.16 : 294,713.69 = 118,069.04 : x
  2. Step 2: Convert to fraction form
    213,556.16/294,713.69 = 118,069.04/x
  3. Step 3: Cross multiply
    213,556.16x = 294,713.69 × 118,069.04
  4. Step 4: Simplify right side
    213,556.16x = 34,796,560,389.24
  5. Step 5: Solve for x
    x = 34,796,560,389.24/213,556.16
  6. Step 6: Final answer
    x = 162,938.69

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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.