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Finding the Fourth Proportional to 194,633.70, 291,302.55 and 141,173.70

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Solution

The fourth proportional to 194,633.70, 291,302.55 and 141,173.70 is: 211,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,633.70 : 291,302.55 = 141,173.70 : x
  2. Step 2: Convert to fraction form
    194,633.70/291,302.55 = 141,173.70/x
  3. Step 3: Cross multiply
    194,633.70x = 291,302.55 × 141,173.70
  4. Step 4: Simplify right side
    194,633.70x = 41,124,258,802.94
  5. Step 5: Solve for x
    x = 41,124,258,802.94/194,633.70
  6. Step 6: Final answer
    x = 211,290.54

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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.