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Finding the Fourth Proportional to 116,609.16, 174,829.52 and 45,471.54

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Solution

The fourth proportional to 116,609.16, 174,829.52 and 45,471.54 is: 68,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,609.16 : 174,829.52 = 45,471.54 : x
  2. Step 2: Convert to fraction form
    116,609.16/174,829.52 = 45,471.54/x
  3. Step 3: Cross multiply
    116,609.16x = 174,829.52 × 45,471.54
  4. Step 4: Simplify right side
    116,609.16x = 7,949,767,511.86
  5. Step 5: Solve for x
    x = 7,949,767,511.86/116,609.16
  6. Step 6: Final answer
    x = 68,174.47

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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.