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Finding the Fourth Proportional to 108,577.20, 162,865.80 and 97,690.80

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Solution

The fourth proportional to 108,577.20, 162,865.80 and 97,690.80 is: 146,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,577.20 : 162,865.80 = 97,690.80 : x
  2. Step 2: Convert to fraction form
    108,577.20/162,865.80 = 97,690.80/x
  3. Step 3: Cross multiply
    108,577.20x = 162,865.80 × 97,690.80
  4. Step 4: Simplify right side
    108,577.20x = 15,910,490,294.64
  5. Step 5: Solve for x
    x = 15,910,490,294.64/108,577.20
  6. Step 6: Final answer
    x = 146,536.20

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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.