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Finding the Fourth Proportional to 189,085.20, 283,627.80 and 78,277.20

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Solution

The fourth proportional to 189,085.20, 283,627.80 and 78,277.20 is: 117,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,085.20 : 283,627.80 = 78,277.20 : x
  2. Step 2: Convert to fraction form
    189,085.20/283,627.80 = 78,277.20/x
  3. Step 3: Cross multiply
    189,085.20x = 283,627.80 × 78,277.20
  4. Step 4: Simplify right side
    189,085.20x = 22,201,590,026.16
  5. Step 5: Solve for x
    x = 22,201,590,026.16/189,085.20
  6. Step 6: Final answer
    x = 117,415.80

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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.