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Finding the Fourth Proportional to 194,412.30, 291,618.45 and 83,604.30

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Solution

The fourth proportional to 194,412.30, 291,618.45 and 83,604.30 is: 125,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,412.30 : 291,618.45 = 83,604.30 : x
  2. Step 2: Convert to fraction form
    194,412.30/291,618.45 = 83,604.30/x
  3. Step 3: Cross multiply
    194,412.30x = 291,618.45 × 83,604.30
  4. Step 4: Simplify right side
    194,412.30x = 24,380,556,379.34
  5. Step 5: Solve for x
    x = 24,380,556,379.34/194,412.30
  6. Step 6: Final answer
    x = 125,406.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.