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Finding the Fourth Proportional to 119,615.36, 165,068.42 and 65,899.14

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Solution

The fourth proportional to 119,615.36, 165,068.42 and 65,899.14 is: 90,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,615.36 : 165,068.42 = 65,899.14 : x
  2. Step 2: Convert to fraction form
    119,615.36/165,068.42 = 65,899.14/x
  3. Step 3: Cross multiply
    119,615.36x = 165,068.42 × 65,899.14
  4. Step 4: Simplify right side
    119,615.36x = 10,877,866,919.16
  5. Step 5: Solve for x
    x = 10,877,866,919.16/119,615.36
  6. Step 6: Final answer
    x = 90,940.39

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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.