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Finding the Fourth Proportional to 300,059.84, 414,126.06 and 172,734.32

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Solution

The fourth proportional to 300,059.84, 414,126.06 and 172,734.32 is: 238,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,059.84 : 414,126.06 = 172,734.32 : x
  2. Step 2: Convert to fraction form
    300,059.84/414,126.06 = 172,734.32/x
  3. Step 3: Cross multiply
    300,059.84x = 414,126.06 × 172,734.32
  4. Step 4: Simplify right side
    300,059.84x = 71,533,783,368.38
  5. Step 5: Solve for x
    x = 71,533,783,368.38/300,059.84
  6. Step 6: Final answer
    x = 238,398.39

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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.