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Finding the Fourth Proportional to 189,399.88, 284,050.68 and 56,248.84

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Solution

The fourth proportional to 189,399.88, 284,050.68 and 56,248.84 is: 84,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,399.88 : 284,050.68 = 56,248.84 : x
  2. Step 2: Convert to fraction form
    189,399.88/284,050.68 = 56,248.84/x
  3. Step 3: Cross multiply
    189,399.88x = 284,050.68 × 56,248.84
  4. Step 4: Simplify right side
    189,399.88x = 15,977,521,251.21
  5. Step 5: Solve for x
    x = 15,977,521,251.21/189,399.88
  6. Step 6: Final answer
    x = 84,358.67

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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.