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Finding the Fourth Proportional to 299,112, 412,759.98 and 178,250.52

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Solution

The fourth proportional to 299,112, 412,759.98 and 178,250.52 is: 245,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,112 : 412,759.98 = 178,250.52 : x
  2. Step 2: Convert to fraction form
    299,112/412,759.98 = 178,250.52/x
  3. Step 3: Cross multiply
    299,112x = 412,759.98 × 178,250.52
  4. Step 4: Simplify right side
    299,112x = 73,574,681,070.19
  5. Step 5: Solve for x
    x = 73,574,681,070.19/299,112
  6. Step 6: Final answer
    x = 245,977.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.