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Finding the Fourth Proportional to 104,702.73, 156,994.50 and 71,463.06

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Solution

The fourth proportional to 104,702.73, 156,994.50 and 71,463.06 is: 107,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,702.73 : 156,994.50 = 71,463.06 : x
  2. Step 2: Convert to fraction form
    104,702.73/156,994.50 = 71,463.06/x
  3. Step 3: Cross multiply
    104,702.73x = 156,994.50 × 71,463.06
  4. Step 4: Simplify right side
    104,702.73x = 11,219,307,373.17
  5. Step 5: Solve for x
    x = 11,219,307,373.17/104,702.73
  6. Step 6: Final answer
    x = 107,153.91

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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.