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Finding the Fourth Proportional to 178,124.16, 267,203.76 and 51,765.50

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Solution

The fourth proportional to 178,124.16, 267,203.76 and 51,765.50 is: 77,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,124.16 : 267,203.76 = 51,765.50 : x
  2. Step 2: Convert to fraction form
    178,124.16/267,203.76 = 51,765.50/x
  3. Step 3: Cross multiply
    178,124.16x = 267,203.76 × 51,765.50
  4. Step 4: Simplify right side
    178,124.16x = 13,831,936,238.28
  5. Step 5: Solve for x
    x = 13,831,936,238.28/178,124.16
  6. Step 6: Final answer
    x = 77,653.34

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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.