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Finding the Fourth Proportional to 97,846.60, 146,769.90 and 76,851.40

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Solution

The fourth proportional to 97,846.60, 146,769.90 and 76,851.40 is: 115,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846.60 : 146,769.90 = 76,851.40 : x
  2. Step 2: Convert to fraction form
    97,846.60/146,769.90 = 76,851.40/x
  3. Step 3: Cross multiply
    97,846.60x = 146,769.90 × 76,851.40
  4. Step 4: Simplify right side
    97,846.60x = 11,279,472,292.86
  5. Step 5: Solve for x
    x = 11,279,472,292.86/97,846.60
  6. Step 6: Final answer
    x = 115,277.10

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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.