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Finding the Fourth Proportional to 281,752.22, 422,494.54 and 163,459.82

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Solution

The fourth proportional to 281,752.22, 422,494.54 and 163,459.82 is: 245,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,752.22 : 422,494.54 = 163,459.82 : x
  2. Step 2: Convert to fraction form
    281,752.22/422,494.54 = 163,459.82/x
  3. Step 3: Cross multiply
    281,752.22x = 422,494.54 × 163,459.82
  4. Step 4: Simplify right side
    281,752.22x = 69,060,881,459.38
  5. Step 5: Solve for x
    x = 69,060,881,459.38/281,752.22
  6. Step 6: Final answer
    x = 245,112.11

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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.