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Finding the Fourth Proportional to 213,156.96, 294,178.16 and 183,042

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Solution

The fourth proportional to 213,156.96, 294,178.16 and 183,042 is: 252,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,156.96 : 294,178.16 = 183,042 : x
  2. Step 2: Convert to fraction form
    213,156.96/294,178.16 = 183,042/x
  3. Step 3: Cross multiply
    213,156.96x = 294,178.16 × 183,042
  4. Step 4: Simplify right side
    213,156.96x = 53,846,958,762.72
  5. Step 5: Solve for x
    x = 53,846,958,762.72/213,156.96
  6. Step 6: Final answer
    x = 252,616.47

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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.