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Finding the Fourth Proportional to 194,467.70, 291,053.55 and 141,007.70

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Solution

The fourth proportional to 194,467.70, 291,053.55 and 141,007.70 is: 211,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,467.70 : 291,053.55 = 141,007.70 : x
  2. Step 2: Convert to fraction form
    194,467.70/291,053.55 = 141,007.70/x
  3. Step 3: Cross multiply
    194,467.70x = 291,053.55 × 141,007.70
  4. Step 4: Simplify right side
    194,467.70x = 41,040,791,662.34
  5. Step 5: Solve for x
    x = 41,040,791,662.34/194,467.70
  6. Step 6: Final answer
    x = 211,041.69

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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.