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Finding the Fourth Proportional to 305,096.80, 457,688.40 and 94,712.80

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Solution

The fourth proportional to 305,096.80, 457,688.40 and 94,712.80 is: 142,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,096.80 : 457,688.40 = 94,712.80 : x
  2. Step 2: Convert to fraction form
    305,096.80/457,688.40 = 94,712.80/x
  3. Step 3: Cross multiply
    305,096.80x = 457,688.40 × 94,712.80
  4. Step 4: Simplify right side
    305,096.80x = 43,348,949,891.52
  5. Step 5: Solve for x
    x = 43,348,949,891.52/305,096.80
  6. Step 6: Final answer
    x = 142,082.61

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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.