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Finding the Fourth Proportional to 186,902.70, 280,354.05 and 140,246.70

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Solution

The fourth proportional to 186,902.70, 280,354.05 and 140,246.70 is: 210,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902.70 : 280,354.05 = 140,246.70 : x
  2. Step 2: Convert to fraction form
    186,902.70/280,354.05 = 140,246.70/x
  3. Step 3: Cross multiply
    186,902.70x = 280,354.05 × 140,246.70
  4. Step 4: Simplify right side
    186,902.70x = 39,318,730,344.14
  5. Step 5: Solve for x
    x = 39,318,730,344.14/186,902.70
  6. Step 6: Final answer
    x = 210,370.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.