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Finding the Fourth Proportional to 281,335.84, 421,097.62 and 185,352.31

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Solution

The fourth proportional to 281,335.84, 421,097.62 and 185,352.31 is: 277,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,335.84 : 421,097.62 = 185,352.31 : x
  2. Step 2: Convert to fraction form
    281,335.84/421,097.62 = 185,352.31/x
  3. Step 3: Cross multiply
    281,335.84x = 421,097.62 × 185,352.31
  4. Step 4: Simplify right side
    281,335.84x = 78,051,416,602.50
  5. Step 5: Solve for x
    x = 78,051,416,602.50/281,335.84
  6. Step 6: Final answer
    x = 277,431.47

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