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Finding the Fourth Proportional to 299,104, 412,748.88 and 178,242.58

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Solution

The fourth proportional to 299,104, 412,748.88 and 178,242.58 is: 245,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,104 : 412,748.88 = 178,242.58 : x
  2. Step 2: Convert to fraction form
    299,104/412,748.88 = 178,242.58/x
  3. Step 3: Cross multiply
    299,104x = 412,748.88 × 178,242.58
  4. Step 4: Simplify right side
    299,104x = 73,569,425,263.31
  5. Step 5: Solve for x
    x = 73,569,425,263.31/299,104
  6. Step 6: Final answer
    x = 245,966.04

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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.