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Finding the Fourth Proportional to 280,125.48, 420,213.87 and 111,604.98

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Solution

The fourth proportional to 280,125.48, 420,213.87 and 111,604.98 is: 167,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,125.48 : 420,213.87 = 111,604.98 : x
  2. Step 2: Convert to fraction form
    280,125.48/420,213.87 = 111,604.98/x
  3. Step 3: Cross multiply
    280,125.48x = 420,213.87 × 111,604.98
  4. Step 4: Simplify right side
    280,125.48x = 46,897,960,557.07
  5. Step 5: Solve for x
    x = 46,897,960,557.07/280,125.48
  6. Step 6: Final answer
    x = 167,417.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.