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Finding the Fourth Proportional to 161,817.40, 242,726.10 and 105,830.20

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Solution

The fourth proportional to 161,817.40, 242,726.10 and 105,830.20 is: 158,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,817.40 : 242,726.10 = 105,830.20 : x
  2. Step 2: Convert to fraction form
    161,817.40/242,726.10 = 105,830.20/x
  3. Step 3: Cross multiply
    161,817.40x = 242,726.10 × 105,830.20
  4. Step 4: Simplify right side
    161,817.40x = 25,687,751,708.22
  5. Step 5: Solve for x
    x = 25,687,751,708.22/161,817.40
  6. Step 6: Final answer
    x = 158,745.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.