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Finding the Fourth Proportional to 222,813, 334,263.24 and 98,154

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Solution

The fourth proportional to 222,813, 334,263.24 and 98,154 is: 147,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,813 : 334,263.24 = 98,154 : x
  2. Step 2: Convert to fraction form
    222,813/334,263.24 = 98,154/x
  3. Step 3: Cross multiply
    222,813x = 334,263.24 × 98,154
  4. Step 4: Simplify right side
    222,813x = 32,809,274,058.96
  5. Step 5: Solve for x
    x = 32,809,274,058.96/222,813
  6. Step 6: Final answer
    x = 147,250.27

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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.