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Finding the Fourth Proportional to 106,422.40, 159,633.60 and 97,820.80

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Solution

The fourth proportional to 106,422.40, 159,633.60 and 97,820.80 is: 146,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422.40 : 159,633.60 = 97,820.80 : x
  2. Step 2: Convert to fraction form
    106,422.40/159,633.60 = 97,820.80/x
  3. Step 3: Cross multiply
    106,422.40x = 159,633.60 × 97,820.80
  4. Step 4: Simplify right side
    106,422.40x = 15,615,486,458.88
  5. Step 5: Solve for x
    x = 15,615,486,458.88/106,422.40
  6. Step 6: Final answer
    x = 146,731.20

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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.