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Finding the Fourth Proportional to 178,152.84, 267,222.78 and 53,490.60

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Solution

The fourth proportional to 178,152.84, 267,222.78 and 53,490.60 is: 80,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,152.84 : 267,222.78 = 53,490.60 : x
  2. Step 2: Convert to fraction form
    178,152.84/267,222.78 = 53,490.60/x
  3. Step 3: Cross multiply
    178,152.84x = 267,222.78 × 53,490.60
  4. Step 4: Simplify right side
    178,152.84x = 14,293,906,835.87
  5. Step 5: Solve for x
    x = 14,293,906,835.87/178,152.84
  6. Step 6: Final answer
    x = 80,233.95

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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.