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Finding the Fourth Proportional to 146,014.20, 201,542.68 and 85,597.92

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Solution

The fourth proportional to 146,014.20, 201,542.68 and 85,597.92 is: 118,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014.20 : 201,542.68 = 85,597.92 : x
  2. Step 2: Convert to fraction form
    146,014.20/201,542.68 = 85,597.92/x
  3. Step 3: Cross multiply
    146,014.20x = 201,542.68 × 85,597.92
  4. Step 4: Simplify right side
    146,014.20x = 17,251,634,199.23
  5. Step 5: Solve for x
    x = 17,251,634,199.23/146,014.20
  6. Step 6: Final answer
    x = 118,150.39

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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.