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Finding the Fourth Proportional to 281,119.16, 421,735.17 and 103,627.10

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Solution

The fourth proportional to 281,119.16, 421,735.17 and 103,627.10 is: 155,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,119.16 : 421,735.17 = 103,627.10 : x
  2. Step 2: Convert to fraction form
    281,119.16/421,735.17 = 103,627.10/x
  3. Step 3: Cross multiply
    281,119.16x = 421,735.17 × 103,627.10
  4. Step 4: Simplify right side
    281,119.16x = 43,703,192,635.11
  5. Step 5: Solve for x
    x = 43,703,192,635.11/281,119.16
  6. Step 6: Final answer
    x = 155,461.45

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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.