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Finding the Fourth Proportional to 164,583.40, 222,362.55 and 164,583.40

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Solution

The fourth proportional to 164,583.40, 222,362.55 and 164,583.40 is: 222,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,583.40 : 222,362.55 = 164,583.40 : x
  2. Step 2: Convert to fraction form
    164,583.40/222,362.55 = 164,583.40/x
  3. Step 3: Cross multiply
    164,583.40x = 222,362.55 × 164,583.40
  4. Step 4: Simplify right side
    164,583.40x = 36,597,184,511.67
  5. Step 5: Solve for x
    x = 36,597,184,511.67/164,583.40
  6. Step 6: Final answer
    x = 222,362.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.