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Finding the Fourth Proportional to 164,564.40, 246,846.60 and 146,193.60

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Solution

The fourth proportional to 164,564.40, 246,846.60 and 146,193.60 is: 219,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,564.40 : 246,846.60 = 146,193.60 : x
  2. Step 2: Convert to fraction form
    164,564.40/246,846.60 = 146,193.60/x
  3. Step 3: Cross multiply
    164,564.40x = 246,846.60 × 146,193.60
  4. Step 4: Simplify right side
    164,564.40x = 36,087,393,101.76
  5. Step 5: Solve for x
    x = 36,087,393,101.76/164,564.40
  6. Step 6: Final answer
    x = 219,290.40

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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.