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Finding the Fourth Proportional to 119,464.62, 164,858.14 and 65,014.48

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Solution

The fourth proportional to 119,464.62, 164,858.14 and 65,014.48 is: 89,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464.62 : 164,858.14 = 65,014.48 : x
  2. Step 2: Convert to fraction form
    119,464.62/164,858.14 = 65,014.48/x
  3. Step 3: Cross multiply
    119,464.62x = 164,858.14 × 65,014.48
  4. Step 4: Simplify right side
    119,464.62x = 10,718,165,421.58
  5. Step 5: Solve for x
    x = 10,718,165,421.58/119,464.62
  6. Step 6: Final answer
    x = 89,718.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.