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Finding the Fourth Proportional to 213,586.83, 294,727.28 and 118,078.11

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Solution

The fourth proportional to 213,586.83, 294,727.28 and 118,078.11 is: 162,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,586.83 : 294,727.28 = 118,078.11 : x
  2. Step 2: Convert to fraction form
    213,586.83/294,727.28 = 118,078.11/x
  3. Step 3: Cross multiply
    213,586.83x = 294,727.28 × 118,078.11
  4. Step 4: Simplify right side
    213,586.83x = 34,800,839,597.45
  5. Step 5: Solve for x
    x = 34,800,839,597.45/213,586.83
  6. Step 6: Final answer
    x = 162,935.33

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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.