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Finding the Fourth Proportional to 156,163.32, 234,478.26 and 153,830.52

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Solution

The fourth proportional to 156,163.32, 234,478.26 and 153,830.52 is: 230,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,163.32 : 234,478.26 = 153,830.52 : x
  2. Step 2: Convert to fraction form
    156,163.32/234,478.26 = 153,830.52/x
  3. Step 3: Cross multiply
    156,163.32x = 234,478.26 × 153,830.52
  4. Step 4: Simplify right side
    156,163.32x = 36,069,912,664.50
  5. Step 5: Solve for x
    x = 36,069,912,664.50/156,163.32
  6. Step 6: Final answer
    x = 230,975.58

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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.