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Finding the Fourth Proportional to 280,277.72, 420,416.58 and 90,896.50

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Solution

The fourth proportional to 280,277.72, 420,416.58 and 90,896.50 is: 136,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,277.72 : 420,416.58 = 90,896.50 : x
  2. Step 2: Convert to fraction form
    280,277.72/420,416.58 = 90,896.50/x
  3. Step 3: Cross multiply
    280,277.72x = 420,416.58 × 90,896.50
  4. Step 4: Simplify right side
    280,277.72x = 38,214,397,201.48
  5. Step 5: Solve for x
    x = 38,214,397,201.48/280,277.72
  6. Step 6: Final answer
    x = 136,344.76

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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.