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Finding the Fourth Proportional to 186,856.80, 280,285.20 and 154,051.80

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Solution

The fourth proportional to 186,856.80, 280,285.20 and 154,051.80 is: 231,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,856.80 : 280,285.20 = 154,051.80 : x
  2. Step 2: Convert to fraction form
    186,856.80/280,285.20 = 154,051.80/x
  3. Step 3: Cross multiply
    186,856.80x = 280,285.20 × 154,051.80
  4. Step 4: Simplify right side
    186,856.80x = 43,178,439,573.36
  5. Step 5: Solve for x
    x = 43,178,439,573.36/186,856.80
  6. Step 6: Final answer
    x = 231,077.70

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Why These Related Problems?

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