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Finding the Fourth Proportional to 213,212.60, 294,237.98 and 117,725.33

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Solution

The fourth proportional to 213,212.60, 294,237.98 and 117,725.33 is: 162,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,212.60 : 294,237.98 = 117,725.33 : x
  2. Step 2: Convert to fraction form
    213,212.60/294,237.98 = 117,725.33/x
  3. Step 3: Cross multiply
    213,212.60x = 294,237.98 × 117,725.33
  4. Step 4: Simplify right side
    213,212.60x = 34,639,262,705.41
  5. Step 5: Solve for x
    x = 34,639,262,705.41/213,212.60
  6. Step 6: Final answer
    x = 162,463.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.