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Finding the Fourth Proportional to 213,066.59, 294,021.90 and 122,358.60

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Solution

The fourth proportional to 213,066.59, 294,021.90 and 122,358.60 is: 168,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,066.59 : 294,021.90 = 122,358.60 : x
  2. Step 2: Convert to fraction form
    213,066.59/294,021.90 = 122,358.60/x
  3. Step 3: Cross multiply
    213,066.59x = 294,021.90 × 122,358.60
  4. Step 4: Simplify right side
    213,066.59x = 35,976,108,053.34
  5. Step 5: Solve for x
    x = 35,976,108,053.34/213,066.59
  6. Step 6: Final answer
    x = 168,849.13

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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.