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Finding the Fourth Proportional to 194,466.75, 291,700.13 and 46,722.75

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Solution

The fourth proportional to 194,466.75, 291,700.13 and 46,722.75 is: 70,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,466.75 : 291,700.13 = 46,722.75 : x
  2. Step 2: Convert to fraction form
    194,466.75/291,700.13 = 46,722.75/x
  3. Step 3: Cross multiply
    194,466.75x = 291,700.13 × 46,722.75
  4. Step 4: Simplify right side
    194,466.75x = 13,629,032,015.34
  5. Step 5: Solve for x
    x = 13,629,032,015.34/194,466.75
  6. Step 6: Final answer
    x = 70,084.13

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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.