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Finding the Fourth Proportional to 185,804.20, 278,706.30 and 156,935.80

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Solution

The fourth proportional to 185,804.20, 278,706.30 and 156,935.80 is: 235,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,804.20 : 278,706.30 = 156,935.80 : x
  2. Step 2: Convert to fraction form
    185,804.20/278,706.30 = 156,935.80/x
  3. Step 3: Cross multiply
    185,804.20x = 278,706.30 × 156,935.80
  4. Step 4: Simplify right side
    185,804.20x = 43,738,996,155.54
  5. Step 5: Solve for x
    x = 43,738,996,155.54/185,804.20
  6. Step 6: Final answer
    x = 235,403.70

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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.