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Finding the Fourth Proportional to 122,025.96, 182,533.50 and 114,561

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Solution

The fourth proportional to 122,025.96, 182,533.50 and 114,561 is: 171,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,025.96 : 182,533.50 = 114,561 : x
  2. Step 2: Convert to fraction form
    122,025.96/182,533.50 = 114,561/x
  3. Step 3: Cross multiply
    122,025.96x = 182,533.50 × 114,561
  4. Step 4: Simplify right side
    122,025.96x = 20,911,220,293.50
  5. Step 5: Solve for x
    x = 20,911,220,293.50/122,025.96
  6. Step 6: Final answer
    x = 171,366.98

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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.