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Finding the Fourth Proportional to 213,706.38, 294,791.64 and 136,038.40

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Solution

The fourth proportional to 213,706.38, 294,791.64 and 136,038.40 is: 187,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706.38 : 294,791.64 = 136,038.40 : x
  2. Step 2: Convert to fraction form
    213,706.38/294,791.64 = 136,038.40/x
  3. Step 3: Cross multiply
    213,706.38x = 294,791.64 × 136,038.40
  4. Step 4: Simplify right side
    213,706.38x = 40,102,983,038.98
  5. Step 5: Solve for x
    x = 40,102,983,038.98/213,706.38
  6. Step 6: Final answer
    x = 187,654.59

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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.