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Finding the Fourth Proportional to 281,107.84, 421,718.10 and 103,615.60

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Solution

The fourth proportional to 281,107.84, 421,718.10 and 103,615.60 is: 155,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,107.84 : 421,718.10 = 103,615.60 : x
  2. Step 2: Convert to fraction form
    281,107.84/421,718.10 = 103,615.60/x
  3. Step 3: Cross multiply
    281,107.84x = 421,718.10 × 103,615.60
  4. Step 4: Simplify right side
    281,107.84x = 43,696,573,962.36
  5. Step 5: Solve for x
    x = 43,696,573,962.36/281,107.84
  6. Step 6: Final answer
    x = 155,444.17

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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.