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Finding the Fourth Proportional to 281,107.16, 421,717.17 and 103,615.10

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Solution

The fourth proportional to 281,107.16, 421,717.17 and 103,615.10 is: 155,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,107.16 : 421,717.17 = 103,615.10 : x
  2. Step 2: Convert to fraction form
    281,107.16/421,717.17 = 103,615.10/x
  3. Step 3: Cross multiply
    281,107.16x = 421,717.17 × 103,615.10
  4. Step 4: Simplify right side
    281,107.16x = 43,696,266,741.27
  5. Step 5: Solve for x
    x = 43,696,266,741.27/281,107.16
  6. Step 6: Final answer
    x = 155,443.45

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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.