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Finding the Fourth Proportional to 119,886, 179,837.64 and 46,014

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Solution

The fourth proportional to 119,886, 179,837.64 and 46,014 is: 69,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,886 : 179,837.64 = 46,014 : x
  2. Step 2: Convert to fraction form
    119,886/179,837.64 = 46,014/x
  3. Step 3: Cross multiply
    119,886x = 179,837.64 × 46,014
  4. Step 4: Simplify right side
    119,886x = 8,275,049,166.96
  5. Step 5: Solve for x
    x = 8,275,049,166.96/119,886
  6. Step 6: Final answer
    x = 69,024.32

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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.