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Finding the Fourth Proportional to 116,842.64, 175,147.32 and 45,667.64

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Solution

The fourth proportional to 116,842.64, 175,147.32 and 45,667.64 is: 68,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,842.64 : 175,147.32 = 45,667.64 : x
  2. Step 2: Convert to fraction form
    116,842.64/175,147.32 = 45,667.64/x
  3. Step 3: Cross multiply
    116,842.64x = 175,147.32 × 45,667.64
  4. Step 4: Simplify right side
    116,842.64x = 7,998,564,756.72
  5. Step 5: Solve for x
    x = 7,998,564,756.72/116,842.64
  6. Step 6: Final answer
    x = 68,455.87

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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.