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Finding the Fourth Proportional to 289,134, 399,251.16 and 181,883.52

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Solution

The fourth proportional to 289,134, 399,251.16 and 181,883.52 is: 251,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,134 : 399,251.16 = 181,883.52 : x
  2. Step 2: Convert to fraction form
    289,134/399,251.16 = 181,883.52/x
  3. Step 3: Cross multiply
    289,134x = 399,251.16 × 181,883.52
  4. Step 4: Simplify right side
    289,134x = 72,617,206,344.88
  5. Step 5: Solve for x
    x = 72,617,206,344.88/289,134
  6. Step 6: Final answer
    x = 251,154.16

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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.