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Finding the Fourth Proportional to 213,228.98, 294,257.42 and 116,433.50

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Solution

The fourth proportional to 213,228.98, 294,257.42 and 116,433.50 is: 160,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,228.98 : 294,257.42 = 116,433.50 : x
  2. Step 2: Convert to fraction form
    213,228.98/294,257.42 = 116,433.50/x
  3. Step 3: Cross multiply
    213,228.98x = 294,257.42 × 116,433.50
  4. Step 4: Simplify right side
    213,228.98x = 34,261,421,465.05
  5. Step 5: Solve for x
    x = 34,261,421,465.05/213,228.98
  6. Step 6: Final answer
    x = 160,679.01

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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.