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Finding the Fourth Proportional to 154,420.10, 213,103.35 and 86,435.39

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Solution

The fourth proportional to 154,420.10, 213,103.35 and 86,435.39 is: 119,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,420.10 : 213,103.35 = 86,435.39 : x
  2. Step 2: Convert to fraction form
    154,420.10/213,103.35 = 86,435.39/x
  3. Step 3: Cross multiply
    154,420.10x = 213,103.35 × 86,435.39
  4. Step 4: Simplify right side
    154,420.10x = 18,419,670,102.04
  5. Step 5: Solve for x
    x = 18,419,670,102.04/154,420.10
  6. Step 6: Final answer
    x = 119,282.85

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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.