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Finding the Fourth Proportional to 96,114.60, 143,999.10 and 82,290.60

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Solution

The fourth proportional to 96,114.60, 143,999.10 and 82,290.60 is: 123,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,114.60 : 143,999.10 = 82,290.60 : x
  2. Step 2: Convert to fraction form
    96,114.60/143,999.10 = 82,290.60/x
  3. Step 3: Cross multiply
    96,114.60x = 143,999.10 × 82,290.60
  4. Step 4: Simplify right side
    96,114.60x = 11,849,772,338.46
  5. Step 5: Solve for x
    x = 11,849,772,338.46/96,114.60
  6. Step 6: Final answer
    x = 123,287.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.