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Finding the Fourth Proportional to 119,701.22, 165,185.66 and 65,253.98

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Solution

The fourth proportional to 119,701.22, 165,185.66 and 65,253.98 is: 90,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,701.22 : 165,185.66 = 65,253.98 : x
  2. Step 2: Convert to fraction form
    119,701.22/165,185.66 = 65,253.98/x
  3. Step 3: Cross multiply
    119,701.22x = 165,185.66 × 65,253.98
  4. Step 4: Simplify right side
    119,701.22x = 10,779,020,601.73
  5. Step 5: Solve for x
    x = 10,779,020,601.73/119,701.22
  6. Step 6: Final answer
    x = 90,049.38

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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.