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Finding the Fourth Proportional to 97,820.80, 146,731.20 and 91,211.20

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Solution

The fourth proportional to 97,820.80, 146,731.20 and 91,211.20 is: 136,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,820.80 : 146,731.20 = 91,211.20 : x
  2. Step 2: Convert to fraction form
    97,820.80/146,731.20 = 91,211.20/x
  3. Step 3: Cross multiply
    97,820.80x = 146,731.20 × 91,211.20
  4. Step 4: Simplify right side
    97,820.80x = 13,383,528,829.44
  5. Step 5: Solve for x
    x = 13,383,528,829.44/97,820.80
  6. Step 6: Final answer
    x = 136,816.80

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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.