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Finding the Fourth Proportional to 97,729.60, 146,680.80 and 83,732.80

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Solution

The fourth proportional to 97,729.60, 146,680.80 and 83,732.80 is: 125,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,729.60 : 146,680.80 = 83,732.80 : x
  2. Step 2: Convert to fraction form
    97,729.60/146,680.80 = 83,732.80/x
  3. Step 3: Cross multiply
    97,729.60x = 146,680.80 × 83,732.80
  4. Step 4: Simplify right side
    97,729.60x = 12,281,994,090.24
  5. Step 5: Solve for x
    x = 12,281,994,090.24/97,729.60
  6. Step 6: Final answer
    x = 125,673.23

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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.