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Finding the Fourth Proportional to 305,206.10, 457,809.15 and 94,865.30

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Solution

The fourth proportional to 305,206.10, 457,809.15 and 94,865.30 is: 142,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,206.10 : 457,809.15 = 94,865.30 : x
  2. Step 2: Convert to fraction form
    305,206.10/457,809.15 = 94,865.30/x
  3. Step 3: Cross multiply
    305,206.10x = 457,809.15 × 94,865.30
  4. Step 4: Simplify right side
    305,206.10x = 43,430,202,357.50
  5. Step 5: Solve for x
    x = 43,430,202,357.50/305,206.10
  6. Step 6: Final answer
    x = 142,297.95

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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.