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Finding the Fourth Proportional to 361,901.94, 542,856.42 and 137,202

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Solution

The fourth proportional to 361,901.94, 542,856.42 and 137,202 is: 205,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,901.94 : 542,856.42 = 137,202 : x
  2. Step 2: Convert to fraction form
    361,901.94/542,856.42 = 137,202/x
  3. Step 3: Cross multiply
    361,901.94x = 542,856.42 × 137,202
  4. Step 4: Simplify right side
    361,901.94x = 74,480,986,536.84
  5. Step 5: Solve for x
    x = 74,480,986,536.84/361,901.94
  6. Step 6: Final answer
    x = 205,804.33

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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.