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Finding the Fourth Proportional to 176,447.64, 264,522.62 and 76,532.57

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Solution

The fourth proportional to 176,447.64, 264,522.62 and 76,532.57 is: 114,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,447.64 : 264,522.62 = 76,532.57 : x
  2. Step 2: Convert to fraction form
    176,447.64/264,522.62 = 76,532.57/x
  3. Step 3: Cross multiply
    176,447.64x = 264,522.62 × 76,532.57
  4. Step 4: Simplify right side
    176,447.64x = 20,244,594,226.46
  5. Step 5: Solve for x
    x = 20,244,594,226.46/176,447.64
  6. Step 6: Final answer
    x = 114,734.29

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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.