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Finding the Fourth Proportional to 120,213, 165,900.24 and 69,233.40

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Solution

The fourth proportional to 120,213, 165,900.24 and 69,233.40 is: 95,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,213 : 165,900.24 = 69,233.40 : x
  2. Step 2: Convert to fraction form
    120,213/165,900.24 = 69,233.40/x
  3. Step 3: Cross multiply
    120,213x = 165,900.24 × 69,233.40
  4. Step 4: Simplify right side
    120,213x = 11,485,837,676.02
  5. Step 5: Solve for x
    x = 11,485,837,676.02/120,213
  6. Step 6: Final answer
    x = 95,545.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.