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Finding the Fourth Proportional to 213,443.22, 294,562.98 and 122,812.95

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Solution

The fourth proportional to 213,443.22, 294,562.98 and 122,812.95 is: 169,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,443.22 : 294,562.98 = 122,812.95 : x
  2. Step 2: Convert to fraction form
    213,443.22/294,562.98 = 122,812.95/x
  3. Step 3: Cross multiply
    213,443.22x = 294,562.98 × 122,812.95
  4. Step 4: Simplify right side
    213,443.22x = 36,176,148,534.59
  5. Step 5: Solve for x
    x = 36,176,148,534.59/213,443.22
  6. Step 6: Final answer
    x = 169,488.39

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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.