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Finding the Fourth Proportional to 105,506.97, 158,227.64 and 35,369.88

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Solution

The fourth proportional to 105,506.97, 158,227.64 and 35,369.88 is: 53,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,506.97 : 158,227.64 = 35,369.88 : x
  2. Step 2: Convert to fraction form
    105,506.97/158,227.64 = 35,369.88/x
  3. Step 3: Cross multiply
    105,506.97x = 158,227.64 × 35,369.88
  4. Step 4: Simplify right side
    105,506.97x = 5,596,492,639.48
  5. Step 5: Solve for x
    x = 5,596,492,639.48/105,506.97
  6. Step 6: Final answer
    x = 53,043.82

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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.