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Finding the Fourth Proportional to 186,716.96, 280,074 and 46,474.64

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Solution

The fourth proportional to 186,716.96, 280,074 and 46,474.64 is: 69,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,716.96 : 280,074 = 46,474.64 : x
  2. Step 2: Convert to fraction form
    186,716.96/280,074 = 46,474.64/x
  3. Step 3: Cross multiply
    186,716.96x = 280,074 × 46,474.64
  4. Step 4: Simplify right side
    186,716.96x = 13,016,338,323.36
  5. Step 5: Solve for x
    x = 13,016,338,323.36/186,716.96
  6. Step 6: Final answer
    x = 69,711.60

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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.