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Finding the Fourth Proportional to 102,992.10, 144,396.30 and 102,992.10

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Solution

The fourth proportional to 102,992.10, 144,396.30 and 102,992.10 is: 144,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.10 : 144,396.30 = 102,992.10 : x
  2. Step 2: Convert to fraction form
    102,992.10/144,396.30 = 102,992.10/x
  3. Step 3: Cross multiply
    102,992.10x = 144,396.30 × 102,992.10
  4. Step 4: Simplify right side
    102,992.10x = 14,871,678,169.23
  5. Step 5: Solve for x
    x = 14,871,678,169.23/102,992.10
  6. Step 6: Final answer
    x = 144,396.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.