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Finding the Fourth Proportional to 222,967.96, 334,503.02 and 96,629.40

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Solution

The fourth proportional to 222,967.96, 334,503.02 and 96,629.40 is: 144,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,967.96 : 334,503.02 = 96,629.40 : x
  2. Step 2: Convert to fraction form
    222,967.96/334,503.02 = 96,629.40/x
  3. Step 3: Cross multiply
    222,967.96x = 334,503.02 × 96,629.40
  4. Step 4: Simplify right side
    222,967.96x = 32,322,826,362.36
  5. Step 5: Solve for x
    x = 32,322,826,362.36/222,967.96
  6. Step 6: Final answer
    x = 144,966.24

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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.