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Finding the Fourth Proportional to 102,664.30, 143,380.10 and 102,664.30

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Solution

The fourth proportional to 102,664.30, 143,380.10 and 102,664.30 is: 143,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664.30 : 143,380.10 = 102,664.30 : x
  2. Step 2: Convert to fraction form
    102,664.30/143,380.10 = 102,664.30/x
  3. Step 3: Cross multiply
    102,664.30x = 143,380.10 × 102,664.30
  4. Step 4: Simplify right side
    102,664.30x = 14,720,017,600.43
  5. Step 5: Solve for x
    x = 14,720,017,600.43/102,664.30
  6. Step 6: Final answer
    x = 143,380.10

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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.