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Finding the Fourth Proportional to 105,702.44, 158,611.05 and 61,361.01

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Solution

The fourth proportional to 105,702.44, 158,611.05 and 61,361.01 is: 92,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.44 : 158,611.05 = 61,361.01 : x
  2. Step 2: Convert to fraction form
    105,702.44/158,611.05 = 61,361.01/x
  3. Step 3: Cross multiply
    105,702.44x = 158,611.05 × 61,361.01
  4. Step 4: Simplify right side
    105,702.44x = 9,732,534,225.16
  5. Step 5: Solve for x
    x = 9,732,534,225.16/105,702.44
  6. Step 6: Final answer
    x = 92,074.83

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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.