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Finding the Fourth Proportional to 380,118.80, 570,197.18 and 113,853.95

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Solution

The fourth proportional to 380,118.80, 570,197.18 and 113,853.95 is: 170,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,118.80 : 570,197.18 = 113,853.95 : x
  2. Step 2: Convert to fraction form
    380,118.80/570,197.18 = 113,853.95/x
  3. Step 3: Cross multiply
    380,118.80x = 570,197.18 × 113,853.95
  4. Step 4: Simplify right side
    380,118.80x = 64,919,197,801.61
  5. Step 5: Solve for x
    x = 64,919,197,801.61/380,118.80
  6. Step 6: Final answer
    x = 170,786.60

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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.