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Finding the Fourth Proportional to 176,586.83, 264,874.32 and 76,747.01

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Solution

The fourth proportional to 176,586.83, 264,874.32 and 76,747.01 is: 115,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,586.83 : 264,874.32 = 76,747.01 : x
  2. Step 2: Convert to fraction form
    176,586.83/264,874.32 = 76,747.01/x
  3. Step 3: Cross multiply
    176,586.83x = 264,874.32 × 76,747.01
  4. Step 4: Simplify right side
    176,586.83x = 20,328,311,927.55
  5. Step 5: Solve for x
    x = 20,328,311,927.55/176,586.83
  6. Step 6: Final answer
    x = 115,117.94

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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.