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Finding the Fourth Proportional to 96,019.20, 143,985.60 and 43,401.60

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Solution

The fourth proportional to 96,019.20, 143,985.60 and 43,401.60 is: 65,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,019.20 : 143,985.60 = 43,401.60 : x
  2. Step 2: Convert to fraction form
    96,019.20/143,985.60 = 43,401.60/x
  3. Step 3: Cross multiply
    96,019.20x = 143,985.60 × 43,401.60
  4. Step 4: Simplify right side
    96,019.20x = 6,249,205,416.96
  5. Step 5: Solve for x
    x = 6,249,205,416.96/96,019.20
  6. Step 6: Final answer
    x = 65,082.87

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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.