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Finding the Fourth Proportional to 156,580.84, 234,905.28 and 51,395.80

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Solution

The fourth proportional to 156,580.84, 234,905.28 and 51,395.80 is: 77,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,580.84 : 234,905.28 = 51,395.80 : x
  2. Step 2: Convert to fraction form
    156,580.84/234,905.28 = 51,395.80/x
  3. Step 3: Cross multiply
    156,580.84x = 234,905.28 × 51,395.80
  4. Step 4: Simplify right side
    156,580.84x = 12,073,144,789.82
  5. Step 5: Solve for x
    x = 12,073,144,789.82/156,580.84
  6. Step 6: Final answer
    x = 77,104.87

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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.