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Finding the Fourth Proportional to 106,543.40, 159,662.79 and 78,241.46

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Solution

The fourth proportional to 106,543.40, 159,662.79 and 78,241.46 is: 117,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.40 : 159,662.79 = 78,241.46 : x
  2. Step 2: Convert to fraction form
    106,543.40/159,662.79 = 78,241.46/x
  3. Step 3: Cross multiply
    106,543.40x = 159,662.79 × 78,241.46
  4. Step 4: Simplify right side
    106,543.40x = 12,492,248,998.96
  5. Step 5: Solve for x
    x = 12,492,248,998.96/106,543.40
  6. Step 6: Final answer
    x = 117,250.34

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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.