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Finding the Fourth Proportional to 114,546.30, 171,862.65 and 55,434.30

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Solution

The fourth proportional to 114,546.30, 171,862.65 and 55,434.30 is: 83,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,546.30 : 171,862.65 = 55,434.30 : x
  2. Step 2: Convert to fraction form
    114,546.30/171,862.65 = 55,434.30/x
  3. Step 3: Cross multiply
    114,546.30x = 171,862.65 × 55,434.30
  4. Step 4: Simplify right side
    114,546.30x = 9,527,085,698.90
  5. Step 5: Solve for x
    x = 9,527,085,698.90/114,546.30
  6. Step 6: Final answer
    x = 83,172.36

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1.5x scale

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.