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Finding the Fourth Proportional to 109,515.80, 164,208.90 and 57,027.80

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Solution

The fourth proportional to 109,515.80, 164,208.90 and 57,027.80 is: 85,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,515.80 : 164,208.90 = 57,027.80 : x
  2. Step 2: Convert to fraction form
    109,515.80/164,208.90 = 57,027.80/x
  3. Step 3: Cross multiply
    109,515.80x = 164,208.90 × 57,027.80
  4. Step 4: Simplify right side
    109,515.80x = 9,364,472,307.42
  5. Step 5: Solve for x
    x = 9,364,472,307.42/109,515.80
  6. Step 6: Final answer
    x = 85,507.96

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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.