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Finding the Fourth Proportional to 209,267.34, 313,898.30 and 51,497.16

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Solution

The fourth proportional to 209,267.34, 313,898.30 and 51,497.16 is: 77,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,267.34 : 313,898.30 = 51,497.16 : x
  2. Step 2: Convert to fraction form
    209,267.34/313,898.30 = 51,497.16/x
  3. Step 3: Cross multiply
    209,267.34x = 313,898.30 × 51,497.16
  4. Step 4: Simplify right side
    209,267.34x = 16,164,870,978.83
  5. Step 5: Solve for x
    x = 16,164,870,978.83/209,267.34
  6. Step 6: Final answer
    x = 77,245.07

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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.