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Finding the Fourth Proportional to 296,716.26, 445,094.90 and 119,223.12

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Solution

The fourth proportional to 296,716.26, 445,094.90 and 119,223.12 is: 178,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,716.26 : 445,094.90 = 119,223.12 : x
  2. Step 2: Convert to fraction form
    296,716.26/445,094.90 = 119,223.12/x
  3. Step 3: Cross multiply
    296,716.26x = 445,094.90 × 119,223.12
  4. Step 4: Simplify right side
    296,716.26x = 53,065,602,674.09
  5. Step 5: Solve for x
    x = 53,065,602,674.09/296,716.26
  6. Step 6: Final answer
    x = 178,842.92

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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.