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Finding the Fourth Proportional to 213,832.44, 295,098 and 118,339.14

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Solution

The fourth proportional to 213,832.44, 295,098 and 118,339.14 is: 163,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832.44 : 295,098 = 118,339.14 : x
  2. Step 2: Convert to fraction form
    213,832.44/295,098 = 118,339.14/x
  3. Step 3: Cross multiply
    213,832.44x = 295,098 × 118,339.14
  4. Step 4: Simplify right side
    213,832.44x = 34,921,643,535.72
  5. Step 5: Solve for x
    x = 34,921,643,535.72/213,832.44
  6. Step 6: Final answer
    x = 163,313.12

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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.