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Finding the Fourth Proportional to 116,224.77, 174,337.16 and 81,232.77

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Solution

The fourth proportional to 116,224.77, 174,337.16 and 81,232.77 is: 121,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,224.77 : 174,337.16 = 81,232.77 : x
  2. Step 2: Convert to fraction form
    116,224.77/174,337.16 = 81,232.77/x
  3. Step 3: Cross multiply
    116,224.77x = 174,337.16 × 81,232.77
  4. Step 4: Simplify right side
    116,224.77x = 14,161,890,014.57
  5. Step 5: Solve for x
    x = 14,161,890,014.57/116,224.77
  6. Step 6: Final answer
    x = 121,849.16

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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.