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Finding the Fourth Proportional to 325,125.68, 487,533 and 138,035.12

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Solution

The fourth proportional to 325,125.68, 487,533 and 138,035.12 is: 206,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,125.68 : 487,533 = 138,035.12 : x
  2. Step 2: Convert to fraction form
    325,125.68/487,533 = 138,035.12/x
  3. Step 3: Cross multiply
    325,125.68x = 487,533 × 138,035.12
  4. Step 4: Simplify right side
    325,125.68x = 67,296,676,158.96
  5. Step 5: Solve for x
    x = 67,296,676,158.96/325,125.68
  6. Step 6: Final answer
    x = 206,986.65

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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.