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Finding the Fourth Proportional to 78,770.50, 118,155.75 and 20,402.50

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Solution

The fourth proportional to 78,770.50, 118,155.75 and 20,402.50 is: 30,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.50 : 118,155.75 = 20,402.50 : x
  2. Step 2: Convert to fraction form
    78,770.50/118,155.75 = 20,402.50/x
  3. Step 3: Cross multiply
    78,770.50x = 118,155.75 × 20,402.50
  4. Step 4: Simplify right side
    78,770.50x = 2,410,672,689.38
  5. Step 5: Solve for x
    x = 2,410,672,689.38/78,770.50
  6. Step 6: Final answer
    x = 30,603.75

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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.