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Finding the Fourth Proportional to 105,599.69, 145,727.57 and 63,168.24

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Solution

The fourth proportional to 105,599.69, 145,727.57 and 63,168.24 is: 87,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599.69 : 145,727.57 = 63,168.24 : x
  2. Step 2: Convert to fraction form
    105,599.69/145,727.57 = 63,168.24/x
  3. Step 3: Cross multiply
    105,599.69x = 145,727.57 × 63,168.24
  4. Step 4: Simplify right side
    105,599.69x = 9,205,354,116.38
  5. Step 5: Solve for x
    x = 9,205,354,116.38/105,599.69
  6. Step 6: Final answer
    x = 87,172.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.