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Finding the Fourth Proportional to 194,546, 291,819 and 46,802

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Solution

The fourth proportional to 194,546, 291,819 and 46,802 is: 70,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,546 : 291,819 = 46,802 : x
  2. Step 2: Convert to fraction form
    194,546/291,819 = 46,802/x
  3. Step 3: Cross multiply
    194,546x = 291,819 × 46,802
  4. Step 4: Simplify right side
    194,546x = 13,657,712,838
  5. Step 5: Solve for x
    x = 13,657,712,838/194,546
  6. Step 6: Final answer
    x = 70,203

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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.