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Finding the Fourth Proportional to 194,283.65, 291,399.95 and 61,164.60

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Solution

The fourth proportional to 194,283.65, 291,399.95 and 61,164.60 is: 91,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,283.65 : 291,399.95 = 61,164.60 : x
  2. Step 2: Convert to fraction form
    194,283.65/291,399.95 = 61,164.60/x
  3. Step 3: Cross multiply
    194,283.65x = 291,399.95 × 61,164.60
  4. Step 4: Simplify right side
    194,283.65x = 17,823,361,381.77
  5. Step 5: Solve for x
    x = 17,823,361,381.77/194,283.65
  6. Step 6: Final answer
    x = 91,738.86

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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.