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Finding the Fourth Proportional to 185,659.84, 278,240.31 and 101,293.59

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Solution

The fourth proportional to 185,659.84, 278,240.31 and 101,293.59 is: 151,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,659.84 : 278,240.31 = 101,293.59 : x
  2. Step 2: Convert to fraction form
    185,659.84/278,240.31 = 101,293.59/x
  3. Step 3: Cross multiply
    185,659.84x = 278,240.31 × 101,293.59
  4. Step 4: Simplify right side
    185,659.84x = 28,183,958,491.41
  5. Step 5: Solve for x
    x = 28,183,958,491.41/185,659.84
  6. Step 6: Final answer
    x = 151,804.28

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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.