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Finding the Fourth Proportional to 154,406.70, 231,696.45 and 65,645.10

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Solution

The fourth proportional to 154,406.70, 231,696.45 and 65,645.10 is: 98,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,406.70 : 231,696.45 = 65,645.10 : x
  2. Step 2: Convert to fraction form
    154,406.70/231,696.45 = 65,645.10/x
  3. Step 3: Cross multiply
    154,406.70x = 231,696.45 × 65,645.10
  4. Step 4: Simplify right side
    154,406.70x = 15,209,736,629.90
  5. Step 5: Solve for x
    x = 15,209,736,629.90/154,406.70
  6. Step 6: Final answer
    x = 98,504.38

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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.