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Finding the Fourth Proportional to 178,123.88, 267,203.38 and 51,765.24

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Solution

The fourth proportional to 178,123.88, 267,203.38 and 51,765.24 is: 77,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123.88 : 267,203.38 = 51,765.24 : x
  2. Step 2: Convert to fraction form
    178,123.88/267,203.38 = 51,765.24/x
  3. Step 3: Cross multiply
    178,123.88x = 267,203.38 × 51,765.24
  4. Step 4: Simplify right side
    178,123.88x = 13,831,847,094.51
  5. Step 5: Solve for x
    x = 13,831,847,094.51/178,123.88
  6. Step 6: Final answer
    x = 77,652.96

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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.