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Finding the Fourth Proportional to 102,991.90, 144,499.70 and 102,991.90

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Solution

The fourth proportional to 102,991.90, 144,499.70 and 102,991.90 is: 144,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.90 : 144,499.70 = 102,991.90 : x
  2. Step 2: Convert to fraction form
    102,991.90/144,499.70 = 102,991.90/x
  3. Step 3: Cross multiply
    102,991.90x = 144,499.70 × 102,991.90
  4. Step 4: Simplify right side
    102,991.90x = 14,882,298,652.43
  5. Step 5: Solve for x
    x = 14,882,298,652.43/102,991.90
  6. Step 6: Final answer
    x = 144,499.70

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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.