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Finding the Fourth Proportional to 212,158.64, 292,786.46 and 116,672.60

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Solution

The fourth proportional to 212,158.64, 292,786.46 and 116,672.60 is: 161,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,158.64 : 292,786.46 = 116,672.60 : x
  2. Step 2: Convert to fraction form
    212,158.64/292,786.46 = 116,672.60/x
  3. Step 3: Cross multiply
    212,158.64x = 292,786.46 × 116,672.60
  4. Step 4: Simplify right side
    212,158.64x = 34,160,157,533.00
  5. Step 5: Solve for x
    x = 34,160,157,533.00/212,158.64
  6. Step 6: Final answer
    x = 161,012.33

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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.