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Finding the Fourth Proportional to 104,176, 156,290.46 and 30,304

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Solution

The fourth proportional to 104,176, 156,290.46 and 30,304 is: 45,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,176 : 156,290.46 = 30,304 : x
  2. Step 2: Convert to fraction form
    104,176/156,290.46 = 30,304/x
  3. Step 3: Cross multiply
    104,176x = 156,290.46 × 30,304
  4. Step 4: Simplify right side
    104,176x = 4,736,226,099.84
  5. Step 5: Solve for x
    x = 4,736,226,099.84/104,176
  6. Step 6: Final answer
    x = 45,463.70

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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.