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Finding the Fourth Proportional to 114,543.73, 171,746.56 and 51,352.42

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Solution

The fourth proportional to 114,543.73, 171,746.56 and 51,352.42 is: 76,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543.73 : 171,746.56 = 51,352.42 : x
  2. Step 2: Convert to fraction form
    114,543.73/171,746.56 = 51,352.42/x
  3. Step 3: Cross multiply
    114,543.73x = 171,746.56 × 51,352.42
  4. Step 4: Simplify right side
    114,543.73x = 8,819,601,482.68
  5. Step 5: Solve for x
    x = 8,819,601,482.68/114,543.73
  6. Step 6: Final answer
    x = 76,997.68

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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.