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Finding the Fourth Proportional to 178,122.51, 267,201.32 and 51,763.86

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Solution

The fourth proportional to 178,122.51, 267,201.32 and 51,763.86 is: 77,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,122.51 : 267,201.32 = 51,763.86 : x
  2. Step 2: Convert to fraction form
    178,122.51/267,201.32 = 51,763.86/x
  3. Step 3: Cross multiply
    178,122.51x = 267,201.32 × 51,763.86
  4. Step 4: Simplify right side
    178,122.51x = 13,831,371,461.48
  5. Step 5: Solve for x
    x = 13,831,371,461.48/178,122.51
  6. Step 6: Final answer
    x = 77,650.89

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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.