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Finding the Fourth Proportional to 298,464.74, 447,745.74 and 88,123.94

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Solution

The fourth proportional to 298,464.74, 447,745.74 and 88,123.94 is: 132,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,464.74 : 447,745.74 = 88,123.94 : x
  2. Step 2: Convert to fraction form
    298,464.74/447,745.74 = 88,123.94/x
  3. Step 3: Cross multiply
    298,464.74x = 447,745.74 × 88,123.94
  4. Step 4: Simplify right side
    298,464.74x = 39,457,118,727.02
  5. Step 5: Solve for x
    x = 39,457,118,727.02/298,464.74
  6. Step 6: Final answer
    x = 132,200.27

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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.