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Finding the Fourth Proportional to 141,093.20, 194,708.04 and 77,430.86

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Solution

The fourth proportional to 141,093.20, 194,708.04 and 77,430.86 is: 106,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,093.20 : 194,708.04 = 77,430.86 : x
  2. Step 2: Convert to fraction form
    141,093.20/194,708.04 = 77,430.86/x
  3. Step 3: Cross multiply
    141,093.20x = 194,708.04 × 77,430.86
  4. Step 4: Simplify right side
    141,093.20x = 15,076,410,986.11
  5. Step 5: Solve for x
    x = 15,076,410,986.11/141,093.20
  6. Step 6: Final answer
    x = 106,854.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.