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Finding the Fourth Proportional to 212,361.96, 293,059.52 and 116,868.64

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Solution

The fourth proportional to 212,361.96, 293,059.52 and 116,868.64 is: 161,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,361.96 : 293,059.52 = 116,868.64 : x
  2. Step 2: Convert to fraction form
    212,361.96/293,059.52 = 116,868.64/x
  3. Step 3: Cross multiply
    212,361.96x = 293,059.52 × 116,868.64
  4. Step 4: Simplify right side
    212,361.96x = 34,249,467,541.45
  5. Step 5: Solve for x
    x = 34,249,467,541.45/212,361.96
  6. Step 6: Final answer
    x = 161,278.73

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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.