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Finding the Fourth Proportional to 105,817.70, 158,726.55 and 101,735.30

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Solution

The fourth proportional to 105,817.70, 158,726.55 and 101,735.30 is: 152,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817.70 : 158,726.55 = 101,735.30 : x
  2. Step 2: Convert to fraction form
    105,817.70/158,726.55 = 101,735.30/x
  3. Step 3: Cross multiply
    105,817.70x = 158,726.55 × 101,735.30
  4. Step 4: Simplify right side
    105,817.70x = 16,148,093,182.22
  5. Step 5: Solve for x
    x = 16,148,093,182.22/105,817.70
  6. Step 6: Final answer
    x = 152,602.95

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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.