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Finding the Fourth Proportional to 213,609.76, 294,746.77 and 118,098

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Solution

The fourth proportional to 213,609.76, 294,746.77 and 118,098 is: 162,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,609.76 : 294,746.77 = 118,098 : x
  2. Step 2: Convert to fraction form
    213,609.76/294,746.77 = 118,098/x
  3. Step 3: Cross multiply
    213,609.76x = 294,746.77 × 118,098
  4. Step 4: Simplify right side
    213,609.76x = 34,809,004,523.23
  5. Step 5: Solve for x
    x = 34,809,004,523.23/213,609.76
  6. Step 6: Final answer
    x = 162,956.06

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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.