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Finding the Fourth Proportional to 364,691.82, 547,282.02 and 128,035.20

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Solution

The fourth proportional to 364,691.82, 547,282.02 and 128,035.20 is: 192,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,691.82 : 547,282.02 = 128,035.20 : x
  2. Step 2: Convert to fraction form
    364,691.82/547,282.02 = 128,035.20/x
  3. Step 3: Cross multiply
    364,691.82x = 547,282.02 × 128,035.20
  4. Step 4: Simplify right side
    364,691.82x = 70,071,362,887.10
  5. Step 5: Solve for x
    x = 70,071,362,887.10/364,691.82
  6. Step 6: Final answer
    x = 192,138.56

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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.