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Finding the Fourth Proportional to 378,152.96, 567,223.04 and 111,912

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Solution

The fourth proportional to 378,152.96, 567,223.04 and 111,912 is: 167,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,152.96 : 567,223.04 = 111,912 : x
  2. Step 2: Convert to fraction form
    378,152.96/567,223.04 = 111,912/x
  3. Step 3: Cross multiply
    378,152.96x = 567,223.04 × 111,912
  4. Step 4: Simplify right side
    378,152.96x = 63,479,064,852.48
  5. Step 5: Solve for x
    x = 63,479,064,852.48/378,152.96
  6. Step 6: Final answer
    x = 167,866.11

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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.