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Finding the Fourth Proportional to 97,393.80, 146,090.70 and 64,216.20

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Solution

The fourth proportional to 97,393.80, 146,090.70 and 64,216.20 is: 96,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393.80 : 146,090.70 = 64,216.20 : x
  2. Step 2: Convert to fraction form
    97,393.80/146,090.70 = 64,216.20/x
  3. Step 3: Cross multiply
    97,393.80x = 146,090.70 × 64,216.20
  4. Step 4: Simplify right side
    97,393.80x = 9,381,389,609.34
  5. Step 5: Solve for x
    x = 9,381,389,609.34/97,393.80
  6. Step 6: Final answer
    x = 96,324.30

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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.