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Finding the Fourth Proportional to 194,290.50, 291,241.19 and 75,798.82

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Solution

The fourth proportional to 194,290.50, 291,241.19 and 75,798.82 is: 113,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,290.50 : 291,241.19 = 75,798.82 : x
  2. Step 2: Convert to fraction form
    194,290.50/291,241.19 = 75,798.82/x
  3. Step 3: Cross multiply
    194,290.50x = 291,241.19 × 75,798.82
  4. Step 4: Simplify right side
    194,290.50x = 22,075,738,537.40
  5. Step 5: Solve for x
    x = 22,075,738,537.40/194,290.50
  6. Step 6: Final answer
    x = 113,622.33

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1.5x scale

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.