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Finding the Fourth Proportional to 189,373.55, 284,011.72 and 56,222.91

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Solution

The fourth proportional to 189,373.55, 284,011.72 and 56,222.91 is: 84,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,373.55 : 284,011.72 = 56,222.91 : x
  2. Step 2: Convert to fraction form
    189,373.55/284,011.72 = 56,222.91/x
  3. Step 3: Cross multiply
    189,373.55x = 284,011.72 × 56,222.91
  4. Step 4: Simplify right side
    189,373.55x = 15,967,965,231.95
  5. Step 5: Solve for x
    x = 15,967,965,231.95/189,373.55
  6. Step 6: Final answer
    x = 84,319.94

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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.