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Finding the Fourth Proportional to 213,352.42, 294,427.32 and 116,557.66

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Solution

The fourth proportional to 213,352.42, 294,427.32 and 116,557.66 is: 160,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,352.42 : 294,427.32 = 116,557.66 : x
  2. Step 2: Convert to fraction form
    213,352.42/294,427.32 = 116,557.66/x
  3. Step 3: Cross multiply
    213,352.42x = 294,427.32 × 116,557.66
  4. Step 4: Simplify right side
    213,352.42x = 34,317,759,459.27
  5. Step 5: Solve for x
    x = 34,317,759,459.27/213,352.42
  6. Step 6: Final answer
    x = 160,850.11

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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.