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Finding the Fourth Proportional to 78,200.84, 117,301.26 and 28,269.25

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Solution

The fourth proportional to 78,200.84, 117,301.26 and 28,269.25 is: 42,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.84 : 117,301.26 = 28,269.25 : x
  2. Step 2: Convert to fraction form
    78,200.84/117,301.26 = 28,269.25/x
  3. Step 3: Cross multiply
    78,200.84x = 117,301.26 × 28,269.25
  4. Step 4: Simplify right side
    78,200.84x = 3,316,019,116.83
  5. Step 5: Solve for x
    x = 3,316,019,116.83/78,200.84
  6. Step 6: Final answer
    x = 42,403.88

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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.