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Finding the Fourth Proportional to 116,138.89, 174,216.44 and 46,018

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Solution

The fourth proportional to 116,138.89, 174,216.44 and 46,018 is: 69,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.89 : 174,216.44 = 46,018 : x
  2. Step 2: Convert to fraction form
    116,138.89/174,216.44 = 46,018/x
  3. Step 3: Cross multiply
    116,138.89x = 174,216.44 × 46,018
  4. Step 4: Simplify right side
    116,138.89x = 8,017,092,135.92
  5. Step 5: Solve for x
    x = 8,017,092,135.92/116,138.89
  6. Step 6: Final answer
    x = 69,030.21

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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.