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Finding the Fourth Proportional to 119,878, 179,825.64 and 46,006

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Solution

The fourth proportional to 119,878, 179,825.64 and 46,006 is: 69,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,878 : 179,825.64 = 46,006 : x
  2. Step 2: Convert to fraction form
    119,878/179,825.64 = 46,006/x
  3. Step 3: Cross multiply
    119,878x = 179,825.64 × 46,006
  4. Step 4: Simplify right side
    119,878x = 8,273,058,393.84
  5. Step 5: Solve for x
    x = 8,273,058,393.84/119,878
  6. Step 6: Final answer
    x = 69,012.32

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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.