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Finding the Fourth Proportional to 176,682.90, 264,927.15 and 76,826.10

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Solution

The fourth proportional to 176,682.90, 264,927.15 and 76,826.10 is: 115,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,682.90 : 264,927.15 = 76,826.10 : x
  2. Step 2: Convert to fraction form
    176,682.90/264,927.15 = 76,826.10/x
  3. Step 3: Cross multiply
    176,682.90x = 264,927.15 × 76,826.10
  4. Step 4: Simplify right side
    176,682.90x = 20,353,319,718.62
  5. Step 5: Solve for x
    x = 20,353,319,718.62/176,682.90
  6. Step 6: Final answer
    x = 115,196.89

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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.