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Finding the Fourth Proportional to 102,970.40, 154,196.40 and 67,719.20

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Solution

The fourth proportional to 102,970.40, 154,196.40 and 67,719.20 is: 101,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970.40 : 154,196.40 = 67,719.20 : x
  2. Step 2: Convert to fraction form
    102,970.40/154,196.40 = 67,719.20/x
  3. Step 3: Cross multiply
    102,970.40x = 154,196.40 × 67,719.20
  4. Step 4: Simplify right side
    102,970.40x = 10,442,056,850.88
  5. Step 5: Solve for x
    x = 10,442,056,850.88/102,970.40
  6. Step 6: Final answer
    x = 101,408.34

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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.