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Finding the Fourth Proportional to 152,464.67, 228,906.50 and 77,635.11

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Solution

The fourth proportional to 152,464.67, 228,906.50 and 77,635.11 is: 116,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,464.67 : 228,906.50 = 77,635.11 : x
  2. Step 2: Convert to fraction form
    152,464.67/228,906.50 = 77,635.11/x
  3. Step 3: Cross multiply
    152,464.67x = 228,906.50 × 77,635.11
  4. Step 4: Simplify right side
    152,464.67x = 17,771,180,919.04
  5. Step 5: Solve for x
    x = 17,771,180,919.04/152,464.67
  6. Step 6: Final answer
    x = 116,559.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.