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Finding the Fourth Proportional to 213,716.88, 294,929.51 and 118,230.03

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Solution

The fourth proportional to 213,716.88, 294,929.51 and 118,230.03 is: 163,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,716.88 : 294,929.51 = 118,230.03 : x
  2. Step 2: Convert to fraction form
    213,716.88/294,929.51 = 118,230.03/x
  3. Step 3: Cross multiply
    213,716.88x = 294,929.51 × 118,230.03
  4. Step 4: Simplify right side
    213,716.88x = 34,869,524,224.04
  5. Step 5: Solve for x
    x = 34,869,524,224.04/213,716.88
  6. Step 6: Final answer
    x = 163,157.56

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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.