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Finding the Fourth Proportional to 291,566.56, 437,396.70 and 102,022.69

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Solution

The fourth proportional to 291,566.56, 437,396.70 and 102,022.69 is: 153,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,566.56 : 437,396.70 = 102,022.69 : x
  2. Step 2: Convert to fraction form
    291,566.56/437,396.70 = 102,022.69/x
  3. Step 3: Cross multiply
    291,566.56x = 437,396.70 × 102,022.69
  4. Step 4: Simplify right side
    291,566.56x = 44,624,385,744.14
  5. Step 5: Solve for x
    x = 44,624,385,744.14/291,566.56
  6. Step 6: Final answer
    x = 153,050.43

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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.