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Finding the Fourth Proportional to 119,880, 179,828.64 and 46,008

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Solution

The fourth proportional to 119,880, 179,828.64 and 46,008 is: 69,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,880 : 179,828.64 = 46,008 : x
  2. Step 2: Convert to fraction form
    119,880/179,828.64 = 46,008/x
  3. Step 3: Cross multiply
    119,880x = 179,828.64 × 46,008
  4. Step 4: Simplify right side
    119,880x = 8,273,556,069.12
  5. Step 5: Solve for x
    x = 8,273,556,069.12/119,880
  6. Step 6: Final answer
    x = 69,015.32

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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.