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Finding the Fourth Proportional to 305,106.30, 457,702.65 and 94,722.30

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Solution

The fourth proportional to 305,106.30, 457,702.65 and 94,722.30 is: 142,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,106.30 : 457,702.65 = 94,722.30 : x
  2. Step 2: Convert to fraction form
    305,106.30/457,702.65 = 94,722.30/x
  3. Step 3: Cross multiply
    305,106.30x = 457,702.65 × 94,722.30
  4. Step 4: Simplify right side
    305,106.30x = 43,354,647,724.10
  5. Step 5: Solve for x
    x = 43,354,647,724.10/305,106.30
  6. Step 6: Final answer
    x = 142,096.86

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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.