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Finding the Fourth Proportional to 102,996.15, 144,505.65 and 102,996.15

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Solution

The fourth proportional to 102,996.15, 144,505.65 and 102,996.15 is: 144,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996.15 : 144,505.65 = 102,996.15 : x
  2. Step 2: Convert to fraction form
    102,996.15/144,505.65 = 102,996.15/x
  3. Step 3: Cross multiply
    102,996.15x = 144,505.65 × 102,996.15
  4. Step 4: Simplify right side
    102,996.15x = 14,883,525,603.25
  5. Step 5: Solve for x
    x = 14,883,525,603.25/102,996.15
  6. Step 6: Final answer
    x = 144,505.65

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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.