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Finding the Fourth Proportional to 196,381.44, 294,572.16 and 91,143

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Solution

The fourth proportional to 196,381.44, 294,572.16 and 91,143 is: 136,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,381.44 : 294,572.16 = 91,143 : x
  2. Step 2: Convert to fraction form
    196,381.44/294,572.16 = 91,143/x
  3. Step 3: Cross multiply
    196,381.44x = 294,572.16 × 91,143
  4. Step 4: Simplify right side
    196,381.44x = 26,848,190,378.88
  5. Step 5: Solve for x
    x = 26,848,190,378.88/196,381.44
  6. Step 6: Final answer
    x = 136,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.