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Finding the Fourth Proportional to 176,522.90, 264,635.10 and 76,607.96

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Solution

The fourth proportional to 176,522.90, 264,635.10 and 76,607.96 is: 114,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,522.90 : 264,635.10 = 76,607.96 : x
  2. Step 2: Convert to fraction form
    176,522.90/264,635.10 = 76,607.96/x
  3. Step 3: Cross multiply
    176,522.90x = 264,635.10 × 76,607.96
  4. Step 4: Simplify right side
    176,522.90x = 20,273,153,832.22
  5. Step 5: Solve for x
    x = 20,273,153,832.22/176,522.90
  6. Step 6: Final answer
    x = 114,847.16

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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.