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Finding the Fourth Proportional to 213,516.34, 294,652.62 and 118,023.01

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Solution

The fourth proportional to 213,516.34, 294,652.62 and 118,023.01 is: 162,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,516.34 : 294,652.62 = 118,023.01 : x
  2. Step 2: Convert to fraction form
    213,516.34/294,652.62 = 118,023.01/x
  3. Step 3: Cross multiply
    213,516.34x = 294,652.62 × 118,023.01
  4. Step 4: Simplify right side
    213,516.34x = 34,775,788,380.15
  5. Step 5: Solve for x
    x = 34,775,788,380.15/213,516.34
  6. Step 6: Final answer
    x = 162,871.79

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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.