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Finding the Fourth Proportional to 280,934.91, 421,314.53 and 93,902.67

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Solution

The fourth proportional to 280,934.91, 421,314.53 and 93,902.67 is: 140,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,934.91 : 421,314.53 = 93,902.67 : x
  2. Step 2: Convert to fraction form
    280,934.91/421,314.53 = 93,902.67/x
  3. Step 3: Cross multiply
    280,934.91x = 421,314.53 × 93,902.67
  4. Step 4: Simplify right side
    280,934.91x = 39,562,558,807.28
  5. Step 5: Solve for x
    x = 39,562,558,807.28/280,934.91
  6. Step 6: Final answer
    x = 140,824.64

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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.