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Finding the Fourth Proportional to 196,806.90, 295,068.06 and 76,762.14

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Solution

The fourth proportional to 196,806.90, 295,068.06 and 76,762.14 is: 115,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,806.90 : 295,068.06 = 76,762.14 : x
  2. Step 2: Convert to fraction form
    196,806.90/295,068.06 = 76,762.14/x
  3. Step 3: Cross multiply
    196,806.90x = 295,068.06 × 76,762.14
  4. Step 4: Simplify right side
    196,806.90x = 22,650,055,731.25
  5. Step 5: Solve for x
    x = 22,650,055,731.25/196,806.90
  6. Step 6: Final answer
    x = 115,087.71

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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.