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Finding the Fourth Proportional to 281,554.56, 422,280.81 and 113,068.08

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Solution

The fourth proportional to 281,554.56, 422,280.81 and 113,068.08 is: 169,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,554.56 : 422,280.81 = 113,068.08 : x
  2. Step 2: Convert to fraction form
    281,554.56/422,280.81 = 113,068.08/x
  3. Step 3: Cross multiply
    281,554.56x = 422,280.81 × 113,068.08
  4. Step 4: Simplify right side
    281,554.56x = 47,746,480,407.54
  5. Step 5: Solve for x
    x = 47,746,480,407.54/281,554.56
  6. Step 6: Final answer
    x = 169,581.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.