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Finding the Fourth Proportional to 141,292.68, 194,983.74 and 77,630.32

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Solution

The fourth proportional to 141,292.68, 194,983.74 and 77,630.32 is: 107,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,292.68 : 194,983.74 = 77,630.32 : x
  2. Step 2: Convert to fraction form
    141,292.68/194,983.74 = 77,630.32/x
  3. Step 3: Cross multiply
    141,292.68x = 194,983.74 × 77,630.32
  4. Step 4: Simplify right side
    141,292.68x = 15,136,650,131.00
  5. Step 5: Solve for x
    x = 15,136,650,131.00/141,292.68
  6. Step 6: Final answer
    x = 107,129.75

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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.