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Finding the Fourth Proportional to 213,313.49, 294,374.41 and 117,821.78

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Solution

The fourth proportional to 213,313.49, 294,374.41 and 117,821.78 is: 162,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,313.49 : 294,374.41 = 117,821.78 : x
  2. Step 2: Convert to fraction form
    213,313.49/294,374.41 = 117,821.78/x
  3. Step 3: Cross multiply
    213,313.49x = 294,374.41 × 117,821.78
  4. Step 4: Simplify right side
    213,313.49x = 34,683,716,972.65
  5. Step 5: Solve for x
    x = 34,683,716,972.65/213,313.49
  6. Step 6: Final answer
    x = 162,595.05

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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.