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Finding the Fourth Proportional to 119,703.22, 165,188.42 and 65,255.98

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Solution

The fourth proportional to 119,703.22, 165,188.42 and 65,255.98 is: 90,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,703.22 : 165,188.42 = 65,255.98 : x
  2. Step 2: Convert to fraction form
    119,703.22/165,188.42 = 65,255.98/x
  3. Step 3: Cross multiply
    119,703.22x = 165,188.42 × 65,255.98
  4. Step 4: Simplify right side
    119,703.22x = 10,779,532,231.75
  5. Step 5: Solve for x
    x = 10,779,532,231.75/119,703.22
  6. Step 6: Final answer
    x = 90,052.15

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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.