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Finding the Fourth Proportional to 102,667.68, 153,958.32 and 43,500.96

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Solution

The fourth proportional to 102,667.68, 153,958.32 and 43,500.96 is: 65,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,667.68 : 153,958.32 = 43,500.96 : x
  2. Step 2: Convert to fraction form
    102,667.68/153,958.32 = 43,500.96/x
  3. Step 3: Cross multiply
    102,667.68x = 153,958.32 × 43,500.96
  4. Step 4: Simplify right side
    102,667.68x = 6,697,334,719.99
  5. Step 5: Solve for x
    x = 6,697,334,719.99/102,667.68
  6. Step 6: Final answer
    x = 65,233.14

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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.