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Finding the Fourth Proportional to 381,307.20, 571,960.80 and 100,852.80

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Solution

The fourth proportional to 381,307.20, 571,960.80 and 100,852.80 is: 151,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,307.20 : 571,960.80 = 100,852.80 : x
  2. Step 2: Convert to fraction form
    381,307.20/571,960.80 = 100,852.80/x
  3. Step 3: Cross multiply
    381,307.20x = 571,960.80 × 100,852.80
  4. Step 4: Simplify right side
    381,307.20x = 57,683,848,170.24
  5. Step 5: Solve for x
    x = 57,683,848,170.24/381,307.20
  6. Step 6: Final answer
    x = 151,279.20

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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.