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Finding the Fourth Proportional to 154,493.80, 231,762.30 and 65,746.60

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Solution

The fourth proportional to 154,493.80, 231,762.30 and 65,746.60 is: 98,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.80 : 231,762.30 = 65,746.60 : x
  2. Step 2: Convert to fraction form
    154,493.80/231,762.30 = 65,746.60/x
  3. Step 3: Cross multiply
    154,493.80x = 231,762.30 × 65,746.60
  4. Step 4: Simplify right side
    154,493.80x = 15,237,583,233.18
  5. Step 5: Solve for x
    x = 15,237,583,233.18/154,493.80
  6. Step 6: Final answer
    x = 98,629.09

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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.