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Finding the Fourth Proportional to 141,943.32, 195,883.02 and 78,283.32

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Solution

The fourth proportional to 141,943.32, 195,883.02 and 78,283.32 is: 108,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,943.32 : 195,883.02 = 78,283.32 : x
  2. Step 2: Convert to fraction form
    141,943.32/195,883.02 = 78,283.32/x
  3. Step 3: Cross multiply
    141,943.32x = 195,883.02 × 78,283.32
  4. Step 4: Simplify right side
    141,943.32x = 15,334,373,137.23
  5. Step 5: Solve for x
    x = 15,334,373,137.23/141,943.32
  6. Step 6: Final answer
    x = 108,031.66

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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.