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Finding the Fourth Proportional to 119,633.95, 165,102.22 and 65,918.95

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Solution

The fourth proportional to 119,633.95, 165,102.22 and 65,918.95 is: 90,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,633.95 : 165,102.22 = 65,918.95 : x
  2. Step 2: Convert to fraction form
    119,633.95/165,102.22 = 65,918.95/x
  3. Step 3: Cross multiply
    119,633.95x = 165,102.22 × 65,918.95
  4. Step 4: Simplify right side
    119,633.95x = 10,883,364,985.07
  5. Step 5: Solve for x
    x = 10,883,364,985.07/119,633.95
  6. Step 6: Final answer
    x = 90,972.21

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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.