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Finding the Fourth Proportional to 154,194.59, 231,325.88 and 65,523.89

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Solution

The fourth proportional to 154,194.59, 231,325.88 and 65,523.89 is: 98,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,194.59 : 231,325.88 = 65,523.89 : x
  2. Step 2: Convert to fraction form
    154,194.59/231,325.88 = 65,523.89/x
  3. Step 3: Cross multiply
    154,194.59x = 231,325.88 × 65,523.89
  4. Step 4: Simplify right side
    154,194.59x = 15,157,370,031.02
  5. Step 5: Solve for x
    x = 15,157,370,031.02/154,194.59
  6. Step 6: Final answer
    x = 98,300.27

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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.