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Finding the Fourth Proportional to 281,102.16, 421,709.67 and 103,610.10

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Solution

The fourth proportional to 281,102.16, 421,709.67 and 103,610.10 is: 155,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102.16 : 421,709.67 = 103,610.10 : x
  2. Step 2: Convert to fraction form
    281,102.16/421,709.67 = 103,610.10/x
  3. Step 3: Cross multiply
    281,102.16x = 421,709.67 × 103,610.10
  4. Step 4: Simplify right side
    281,102.16x = 43,693,381,079.67
  5. Step 5: Solve for x
    x = 43,693,381,079.67/281,102.16
  6. Step 6: Final answer
    x = 155,435.95

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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.