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Finding the Fourth Proportional to 213,066.72, 294,138.50 and 132,520.23

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Solution

The fourth proportional to 213,066.72, 294,138.50 and 132,520.23 is: 182,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,066.72 : 294,138.50 = 132,520.23 : x
  2. Step 2: Convert to fraction form
    213,066.72/294,138.50 = 132,520.23/x
  3. Step 3: Cross multiply
    213,066.72x = 294,138.50 × 132,520.23
  4. Step 4: Simplify right side
    213,066.72x = 38,979,301,009.25
  5. Step 5: Solve for x
    x = 38,979,301,009.25/213,066.72
  6. Step 6: Final answer
    x = 182,944.11

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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.