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Finding the Fourth Proportional to 212,094.56, 292,690.64 and 116,602.88

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Solution

The fourth proportional to 212,094.56, 292,690.64 and 116,602.88 is: 160,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,094.56 : 292,690.64 = 116,602.88 : x
  2. Step 2: Convert to fraction form
    212,094.56/292,690.64 = 116,602.88/x
  3. Step 3: Cross multiply
    212,094.56x = 292,690.64 × 116,602.88
  4. Step 4: Simplify right side
    212,094.56x = 34,128,571,573.04
  5. Step 5: Solve for x
    x = 34,128,571,573.04/212,094.56
  6. Step 6: Final answer
    x = 160,912.06

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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.