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Finding the Fourth Proportional to 145,585.32, 200,891.46 and 81,945

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Solution

The fourth proportional to 145,585.32, 200,891.46 and 81,945 is: 113,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,585.32 : 200,891.46 = 81,945 : x
  2. Step 2: Convert to fraction form
    145,585.32/200,891.46 = 81,945/x
  3. Step 3: Cross multiply
    145,585.32x = 200,891.46 × 81,945
  4. Step 4: Simplify right side
    145,585.32x = 16,462,050,689.70
  5. Step 5: Solve for x
    x = 16,462,050,689.70/145,585.32
  6. Step 6: Final answer
    x = 113,074.94

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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.