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Finding the Fourth Proportional to 186,949, 280,424.10 and 46,707.64

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Solution

The fourth proportional to 186,949, 280,424.10 and 46,707.64 is: 70,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,949 : 280,424.10 = 46,707.64 : x
  2. Step 2: Convert to fraction form
    186,949/280,424.10 = 46,707.64/x
  3. Step 3: Cross multiply
    186,949x = 280,424.10 × 46,707.64
  4. Step 4: Simplify right side
    186,949x = 13,097,947,910.12
  5. Step 5: Solve for x
    x = 13,097,947,910.12/186,949
  6. Step 6: Final answer
    x = 70,061.61

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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.