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Finding the Fourth Proportional to 194,743, 292,114.50 and 46,999

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Solution

The fourth proportional to 194,743, 292,114.50 and 46,999 is: 70,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,743 : 292,114.50 = 46,999 : x
  2. Step 2: Convert to fraction form
    194,743/292,114.50 = 46,999/x
  3. Step 3: Cross multiply
    194,743x = 292,114.50 × 46,999
  4. Step 4: Simplify right side
    194,743x = 13,729,089,385.50
  5. Step 5: Solve for x
    x = 13,729,089,385.50/194,743
  6. Step 6: Final answer
    x = 70,498.50

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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.