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Finding the Fourth Proportional to 185,953.56, 278,813.46 and 135,370.68

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Solution

The fourth proportional to 185,953.56, 278,813.46 and 135,370.68 is: 202,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,953.56 : 278,813.46 = 135,370.68 : x
  2. Step 2: Convert to fraction form
    185,953.56/278,813.46 = 135,370.68/x
  3. Step 3: Cross multiply
    185,953.56x = 278,813.46 × 135,370.68
  4. Step 4: Simplify right side
    185,953.56x = 37,743,167,673.35
  5. Step 5: Solve for x
    x = 37,743,167,673.35/185,953.56
  6. Step 6: Final answer
    x = 202,970.93

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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.