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Finding the Fourth Proportional to 222,814, 334,264.74 and 98,155

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Solution

The fourth proportional to 222,814, 334,264.74 and 98,155 is: 147,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,814 : 334,264.74 = 98,155 : x
  2. Step 2: Convert to fraction form
    222,814/334,264.74 = 98,155/x
  3. Step 3: Cross multiply
    222,814x = 334,264.74 × 98,155
  4. Step 4: Simplify right side
    222,814x = 32,809,755,554.70
  5. Step 5: Solve for x
    x = 32,809,755,554.70/222,814
  6. Step 6: Final answer
    x = 147,251.77

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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.