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Finding the Fourth Proportional to 189,373.88, 284,011.90 and 56,224.01

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Solution

The fourth proportional to 189,373.88, 284,011.90 and 56,224.01 is: 84,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,373.88 : 284,011.90 = 56,224.01 : x
  2. Step 2: Convert to fraction form
    189,373.88/284,011.90 = 56,224.01/x
  3. Step 3: Cross multiply
    189,373.88x = 284,011.90 × 56,224.01
  4. Step 4: Simplify right side
    189,373.88x = 15,968,287,905.72
  5. Step 5: Solve for x
    x = 15,968,287,905.72/189,373.88
  6. Step 6: Final answer
    x = 84,321.49

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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.