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Finding the Fourth Proportional to 114,543.50, 171,746.19 and 51,352.19

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Solution

The fourth proportional to 114,543.50, 171,746.19 and 51,352.19 is: 76,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543.50 : 171,746.19 = 51,352.19 : x
  2. Step 2: Convert to fraction form
    114,543.50/171,746.19 = 51,352.19/x
  3. Step 3: Cross multiply
    114,543.50x = 171,746.19 × 51,352.19
  4. Step 4: Simplify right side
    114,543.50x = 8,819,543,410.02
  5. Step 5: Solve for x
    x = 8,819,543,410.02/114,543.50
  6. Step 6: Final answer
    x = 76,997.33

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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.