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Finding the Fourth Proportional to 213,829.31, 295,093.71 and 118,336.03

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Solution

The fourth proportional to 213,829.31, 295,093.71 and 118,336.03 is: 163,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,829.31 : 295,093.71 = 118,336.03 : x
  2. Step 2: Convert to fraction form
    213,829.31/295,093.71 = 118,336.03/x
  3. Step 3: Cross multiply
    213,829.31x = 295,093.71 × 118,336.03
  4. Step 4: Simplify right side
    213,829.31x = 34,920,218,119.37
  5. Step 5: Solve for x
    x = 34,920,218,119.37/213,829.31
  6. Step 6: Final answer
    x = 163,308.85

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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.