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Finding the Fourth Proportional to 120,153.26, 165,812.35 and 65,705.66

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Solution

The fourth proportional to 120,153.26, 165,812.35 and 65,705.66 is: 90,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,153.26 : 165,812.35 = 65,705.66 : x
  2. Step 2: Convert to fraction form
    120,153.26/165,812.35 = 65,705.66/x
  3. Step 3: Cross multiply
    120,153.26x = 165,812.35 × 65,705.66
  4. Step 4: Simplify right side
    120,153.26x = 10,894,810,577.26
  5. Step 5: Solve for x
    x = 10,894,810,577.26/120,153.26
  6. Step 6: Final answer
    x = 90,674.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.