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Finding the Fourth Proportional to 120,172.84, 165,839.62 and 66,455.08

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Solution

The fourth proportional to 120,172.84, 165,839.62 and 66,455.08 is: 91,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172.84 : 165,839.62 = 66,455.08 : x
  2. Step 2: Convert to fraction form
    120,172.84/165,839.62 = 66,455.08/x
  3. Step 3: Cross multiply
    120,172.84x = 165,839.62 × 66,455.08
  4. Step 4: Simplify right side
    120,172.84x = 11,020,885,214.27
  5. Step 5: Solve for x
    x = 11,020,885,214.27/120,172.84
  6. Step 6: Final answer
    x = 91,708.62

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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.