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Finding the Fourth Proportional to 281,098.50, 421,648.16 and 114,886.50

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Solution

The fourth proportional to 281,098.50, 421,648.16 and 114,886.50 is: 172,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,098.50 : 421,648.16 = 114,886.50 : x
  2. Step 2: Convert to fraction form
    281,098.50/421,648.16 = 114,886.50/x
  3. Step 3: Cross multiply
    281,098.50x = 421,648.16 × 114,886.50
  4. Step 4: Simplify right side
    281,098.50x = 48,441,680,759.41
  5. Step 5: Solve for x
    x = 48,441,680,759.41/281,098.50
  6. Step 6: Final answer
    x = 172,329.92

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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.