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Finding the Fourth Proportional to 176,428.86, 264,642.75 and 71,246.58

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Solution

The fourth proportional to 176,428.86, 264,642.75 and 71,246.58 is: 106,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,428.86 : 264,642.75 = 71,246.58 : x
  2. Step 2: Convert to fraction form
    176,428.86/264,642.75 = 71,246.58/x
  3. Step 3: Cross multiply
    176,428.86x = 264,642.75 × 71,246.58
  4. Step 4: Simplify right side
    176,428.86x = 18,854,890,859.30
  5. Step 5: Solve for x
    x = 18,854,890,859.30/176,428.86
  6. Step 6: Final answer
    x = 106,869.65

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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.