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Finding the Fourth Proportional to 305,168.50, 457,752.84 and 94,806.46

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Solution

The fourth proportional to 305,168.50, 457,752.84 and 94,806.46 is: 142,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,168.50 : 457,752.84 = 94,806.46 : x
  2. Step 2: Convert to fraction form
    305,168.50/457,752.84 = 94,806.46/x
  3. Step 3: Cross multiply
    305,168.50x = 457,752.84 × 94,806.46
  4. Step 4: Simplify right side
    305,168.50x = 43,397,926,315.35
  5. Step 5: Solve for x
    x = 43,397,926,315.35/305,168.50
  6. Step 6: Final answer
    x = 142,209.72

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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.