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Finding the Fourth Proportional to 106,511.36, 147,607.03 and 105,008

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Solution

The fourth proportional to 106,511.36, 147,607.03 and 105,008 is: 145,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,511.36 : 147,607.03 = 105,008 : x
  2. Step 2: Convert to fraction form
    106,511.36/147,607.03 = 105,008/x
  3. Step 3: Cross multiply
    106,511.36x = 147,607.03 × 105,008
  4. Step 4: Simplify right side
    106,511.36x = 15,499,919,006.24
  5. Step 5: Solve for x
    x = 15,499,919,006.24/106,511.36
  6. Step 6: Final answer
    x = 145,523.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.