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Finding the Fourth Proportional to 189,398.88, 284,049.18 and 56,247.84

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Solution

The fourth proportional to 189,398.88, 284,049.18 and 56,247.84 is: 84,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.88 : 284,049.18 = 56,247.84 : x
  2. Step 2: Convert to fraction form
    189,398.88/284,049.18 = 56,247.84/x
  3. Step 3: Cross multiply
    189,398.88x = 284,049.18 × 56,247.84
  4. Step 4: Simplify right side
    189,398.88x = 15,977,152,828.77
  5. Step 5: Solve for x
    x = 15,977,152,828.77/189,398.88
  6. Step 6: Final answer
    x = 84,357.17

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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.