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Finding the Fourth Proportional to 154,059.13, 230,941.07 and 65,190.39

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Solution

The fourth proportional to 154,059.13, 230,941.07 and 65,190.39 is: 97,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,059.13 : 230,941.07 = 65,190.39 : x
  2. Step 2: Convert to fraction form
    154,059.13/230,941.07 = 65,190.39/x
  3. Step 3: Cross multiply
    154,059.13x = 230,941.07 × 65,190.39
  4. Step 4: Simplify right side
    154,059.13x = 15,055,137,839.50
  5. Step 5: Solve for x
    x = 15,055,137,839.50/154,059.13
  6. Step 6: Final answer
    x = 97,723.11

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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.