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Finding the Fourth Proportional to 136,696.15, 205,035.11 and 65,669.68

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Solution

The fourth proportional to 136,696.15, 205,035.11 and 65,669.68 is: 98,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,696.15 : 205,035.11 = 65,669.68 : x
  2. Step 2: Convert to fraction form
    136,696.15/205,035.11 = 65,669.68/x
  3. Step 3: Cross multiply
    136,696.15x = 205,035.11 × 65,669.68
  4. Step 4: Simplify right side
    136,696.15x = 13,464,590,062.46
  5. Step 5: Solve for x
    x = 13,464,590,062.46/136,696.15
  6. Step 6: Final answer
    x = 98,500.14

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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.