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Finding the Fourth Proportional to 141,995.52, 195,966.72 and 82,368

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Solution

The fourth proportional to 141,995.52, 195,966.72 and 82,368 is: 113,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,995.52 : 195,966.72 = 82,368 : x
  2. Step 2: Convert to fraction form
    141,995.52/195,966.72 = 82,368/x
  3. Step 3: Cross multiply
    141,995.52x = 195,966.72 × 82,368
  4. Step 4: Simplify right side
    141,995.52x = 16,141,386,792.96
  5. Step 5: Solve for x
    x = 16,141,386,792.96/141,995.52
  6. Step 6: Final answer
    x = 113,675.32

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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.