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Finding the Fourth Proportional to 114,543.37, 171,746 and 51,352.06

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Solution

The fourth proportional to 114,543.37, 171,746 and 51,352.06 is: 76,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543.37 : 171,746 = 51,352.06 : x
  2. Step 2: Convert to fraction form
    114,543.37/171,746 = 51,352.06/x
  3. Step 3: Cross multiply
    114,543.37x = 171,746 × 51,352.06
  4. Step 4: Simplify right side
    114,543.37x = 8,819,510,896.76
  5. Step 5: Solve for x
    x = 8,819,510,896.76/114,543.37
  6. Step 6: Final answer
    x = 76,997.13

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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.