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Finding the Fourth Proportional to 189,911.04, 284,776.80 and 56,744.80

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Solution

The fourth proportional to 189,911.04, 284,776.80 and 56,744.80 is: 85,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,911.04 : 284,776.80 = 56,744.80 : x
  2. Step 2: Convert to fraction form
    189,911.04/284,776.80 = 56,744.80/x
  3. Step 3: Cross multiply
    189,911.04x = 284,776.80 × 56,744.80
  4. Step 4: Simplify right side
    189,911.04x = 16,159,602,560.64
  5. Step 5: Solve for x
    x = 16,159,602,560.64/189,911.04
  6. Step 6: Final answer
    x = 85,090.38

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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.