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Finding the Fourth Proportional to 281,444.58, 422,164.23 and 121,633.50

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Solution

The fourth proportional to 281,444.58, 422,164.23 and 121,633.50 is: 182,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,444.58 : 422,164.23 = 121,633.50 : x
  2. Step 2: Convert to fraction form
    281,444.58/422,164.23 = 121,633.50/x
  3. Step 3: Cross multiply
    281,444.58x = 422,164.23 × 121,633.50
  4. Step 4: Simplify right side
    281,444.58x = 51,349,312,869.71
  5. Step 5: Solve for x
    x = 51,349,312,869.71/281,444.58
  6. Step 6: Final answer
    x = 182,449.11

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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.