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Finding the Fourth Proportional to 213,034.30, 294,093.86 and 132,487.77

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Solution

The fourth proportional to 213,034.30, 294,093.86 and 132,487.77 is: 182,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,034.30 : 294,093.86 = 132,487.77 : x
  2. Step 2: Convert to fraction form
    213,034.30/294,093.86 = 132,487.77/x
  3. Step 3: Cross multiply
    213,034.30x = 294,093.86 × 132,487.77
  4. Step 4: Simplify right side
    213,034.30x = 38,963,840,013.31
  5. Step 5: Solve for x
    x = 38,963,840,013.31/213,034.30
  6. Step 6: Final answer
    x = 182,899.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.