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Finding the Fourth Proportional to 119,874, 179,819.64 and 46,002

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Solution

The fourth proportional to 119,874, 179,819.64 and 46,002 is: 69,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,874 : 179,819.64 = 46,002 : x
  2. Step 2: Convert to fraction form
    119,874/179,819.64 = 46,002/x
  3. Step 3: Cross multiply
    119,874x = 179,819.64 × 46,002
  4. Step 4: Simplify right side
    119,874x = 8,272,063,079.28
  5. Step 5: Solve for x
    x = 8,272,063,079.28/119,874
  6. Step 6: Final answer
    x = 69,006.32

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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.