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Finding the Fourth Proportional to 162,205.90, 243,308.82 and 83,276.26

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Solution

The fourth proportional to 162,205.90, 243,308.82 and 83,276.26 is: 124,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,205.90 : 243,308.82 = 83,276.26 : x
  2. Step 2: Convert to fraction form
    162,205.90/243,308.82 = 83,276.26/x
  3. Step 3: Cross multiply
    162,205.90x = 243,308.82 × 83,276.26
  4. Step 4: Simplify right side
    162,205.90x = 20,261,848,554.61
  5. Step 5: Solve for x
    x = 20,261,848,554.61/162,205.90
  6. Step 6: Final answer
    x = 124,914.37

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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.