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Finding the Fourth Proportional to 119,609.46, 165,055.14 and 65,893.05

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Solution

The fourth proportional to 119,609.46, 165,055.14 and 65,893.05 is: 90,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,609.46 : 165,055.14 = 65,893.05 : x
  2. Step 2: Convert to fraction form
    119,609.46/165,055.14 = 65,893.05/x
  3. Step 3: Cross multiply
    119,609.46x = 165,055.14 × 65,893.05
  4. Step 4: Simplify right side
    119,609.46x = 10,875,986,592.78
  5. Step 5: Solve for x
    x = 10,875,986,592.78/119,609.46
  6. Step 6: Final answer
    x = 90,929.15

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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.