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Finding the Fourth Proportional to 114,295.50, 171,330.24 and 54,218.64

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Solution

The fourth proportional to 114,295.50, 171,330.24 and 54,218.64 is: 81,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.50 : 171,330.24 = 54,218.64 : x
  2. Step 2: Convert to fraction form
    114,295.50/171,330.24 = 54,218.64/x
  3. Step 3: Cross multiply
    114,295.50x = 171,330.24 × 54,218.64
  4. Step 4: Simplify right side
    114,295.50x = 9,289,292,603.67
  5. Step 5: Solve for x
    x = 9,289,292,603.67/114,295.50
  6. Step 6: Final answer
    x = 81,274.35

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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.