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Finding the Fourth Proportional to 185,281.40, 255,689.26 and 100,398.46

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Solution

The fourth proportional to 185,281.40, 255,689.26 and 100,398.46 is: 138,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,281.40 : 255,689.26 = 100,398.46 : x
  2. Step 2: Convert to fraction form
    185,281.40/255,689.26 = 100,398.46/x
  3. Step 3: Cross multiply
    185,281.40x = 255,689.26 × 100,398.46
  4. Step 4: Simplify right side
    185,281.40x = 25,670,807,942.54
  5. Step 5: Solve for x
    x = 25,670,807,942.54/185,281.40
  6. Step 6: Final answer
    x = 138,550.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.