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Finding the Fourth Proportional to 97,461.20, 146,191.80 and 91,629.20

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Solution

The fourth proportional to 97,461.20, 146,191.80 and 91,629.20 is: 137,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.20 : 146,191.80 = 91,629.20 : x
  2. Step 2: Convert to fraction form
    97,461.20/146,191.80 = 91,629.20/x
  3. Step 3: Cross multiply
    97,461.20x = 146,191.80 × 91,629.20
  4. Step 4: Simplify right side
    97,461.20x = 13,395,437,680.56
  5. Step 5: Solve for x
    x = 13,395,437,680.56/97,461.20
  6. Step 6: Final answer
    x = 137,443.80

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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.