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Finding the Fourth Proportional to 189,381.62, 284,111.31 and 56,250.02

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Solution

The fourth proportional to 189,381.62, 284,111.31 and 56,250.02 is: 84,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,381.62 : 284,111.31 = 56,250.02 : x
  2. Step 2: Convert to fraction form
    189,381.62/284,111.31 = 56,250.02/x
  3. Step 3: Cross multiply
    189,381.62x = 284,111.31 × 56,250.02
  4. Step 4: Simplify right side
    189,381.62x = 15,981,266,869.73
  5. Step 5: Solve for x
    x = 15,981,266,869.73/189,381.62
  6. Step 6: Final answer
    x = 84,386.58

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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.