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Finding the Fourth Proportional to 144,856.76, 217,285.32 and 39,676.64

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Solution

The fourth proportional to 144,856.76, 217,285.32 and 39,676.64 is: 59,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,856.76 : 217,285.32 = 39,676.64 : x
  2. Step 2: Convert to fraction form
    144,856.76/217,285.32 = 39,676.64/x
  3. Step 3: Cross multiply
    144,856.76x = 217,285.32 × 39,676.64
  4. Step 4: Simplify right side
    144,856.76x = 8,621,151,418.92
  5. Step 5: Solve for x
    x = 8,621,151,418.92/144,856.76
  6. Step 6: Final answer
    x = 59,515.01

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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.