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Finding the Fourth Proportional to 213,675.96, 294,837.60 and 118,164

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Solution

The fourth proportional to 213,675.96, 294,837.60 and 118,164 is: 163,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,675.96 : 294,837.60 = 118,164 : x
  2. Step 2: Convert to fraction form
    213,675.96/294,837.60 = 118,164/x
  3. Step 3: Cross multiply
    213,675.96x = 294,837.60 × 118,164
  4. Step 4: Simplify right side
    213,675.96x = 34,839,190,166.40
  5. Step 5: Solve for x
    x = 34,839,190,166.40/213,675.96
  6. Step 6: Final answer
    x = 163,046.84

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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.