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Finding the Fourth Proportional to 156,144, 234,222.48 and 45,336

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Solution

The fourth proportional to 156,144, 234,222.48 and 45,336 is: 68,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,144 : 234,222.48 = 45,336 : x
  2. Step 2: Convert to fraction form
    156,144/234,222.48 = 45,336/x
  3. Step 3: Cross multiply
    156,144x = 234,222.48 × 45,336
  4. Step 4: Simplify right side
    156,144x = 10,618,710,353.28
  5. Step 5: Solve for x
    x = 10,618,710,353.28/156,144
  6. Step 6: Final answer
    x = 68,005.88

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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.