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Finding the Fourth Proportional to 130,503, 195,754.56 and 56,631

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Solution

The fourth proportional to 130,503, 195,754.56 and 56,631 is: 84,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,503 : 195,754.56 = 56,631 : x
  2. Step 2: Convert to fraction form
    130,503/195,754.56 = 56,631/x
  3. Step 3: Cross multiply
    130,503x = 195,754.56 × 56,631
  4. Step 4: Simplify right side
    130,503x = 11,085,776,487.36
  5. Step 5: Solve for x
    x = 11,085,776,487.36/130,503
  6. Step 6: Final answer
    x = 84,946.53

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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.