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Finding the Fourth Proportional to 222,135, 306,583.55 and 174,750

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Solution

The fourth proportional to 222,135, 306,583.55 and 174,750 is: 241,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,135 : 306,583.55 = 174,750 : x
  2. Step 2: Convert to fraction form
    222,135/306,583.55 = 174,750/x
  3. Step 3: Cross multiply
    222,135x = 306,583.55 × 174,750
  4. Step 4: Simplify right side
    222,135x = 53,575,475,362.50
  5. Step 5: Solve for x
    x = 53,575,475,362.50/222,135
  6. Step 6: Final answer
    x = 241,184.30

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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.