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Finding the Fourth Proportional to 102,705.70, 144,202.70 and 102,705.70

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Solution

The fourth proportional to 102,705.70, 144,202.70 and 102,705.70 is: 144,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.70 : 144,202.70 = 102,705.70 : x
  2. Step 2: Convert to fraction form
    102,705.70/144,202.70 = 102,705.70/x
  3. Step 3: Cross multiply
    102,705.70x = 144,202.70 × 102,705.70
  4. Step 4: Simplify right side
    102,705.70x = 14,810,439,245.39
  5. Step 5: Solve for x
    x = 14,810,439,245.39/102,705.70
  6. Step 6: Final answer
    x = 144,202.70

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