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Finding the Fourth Proportional to 156,954.28, 235,373.10 and 51,745

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Solution

The fourth proportional to 156,954.28, 235,373.10 and 51,745 is: 77,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954.28 : 235,373.10 = 51,745 : x
  2. Step 2: Convert to fraction form
    156,954.28/235,373.10 = 51,745/x
  3. Step 3: Cross multiply
    156,954.28x = 235,373.10 × 51,745
  4. Step 4: Simplify right side
    156,954.28x = 12,179,381,059.50
  5. Step 5: Solve for x
    x = 12,179,381,059.50/156,954.28
  6. Step 6: Final answer
    x = 77,598.27

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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.