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Finding the Fourth Proportional to 235,442.40, 353,163.60 and 164,583.60

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Solution

The fourth proportional to 235,442.40, 353,163.60 and 164,583.60 is: 246,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,442.40 : 353,163.60 = 164,583.60 : x
  2. Step 2: Convert to fraction form
    235,442.40/353,163.60 = 164,583.60/x
  3. Step 3: Cross multiply
    235,442.40x = 353,163.60 × 164,583.60
  4. Step 4: Simplify right side
    235,442.40x = 58,124,936,676.96
  5. Step 5: Solve for x
    x = 58,124,936,676.96/235,442.40
  6. Step 6: Final answer
    x = 246,875.40

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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.