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Finding the Fourth Proportional to 150,947.03, 208,307.06 and 82,963.98

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Solution

The fourth proportional to 150,947.03, 208,307.06 and 82,963.98 is: 114,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,947.03 : 208,307.06 = 82,963.98 : x
  2. Step 2: Convert to fraction form
    150,947.03/208,307.06 = 82,963.98/x
  3. Step 3: Cross multiply
    150,947.03x = 208,307.06 × 82,963.98
  4. Step 4: Simplify right side
    150,947.03x = 17,281,982,967.11
  5. Step 5: Solve for x
    x = 17,281,982,967.11/150,947.03
  6. Step 6: Final answer
    x = 114,490.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.