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Finding the Fourth Proportional to 189,365.85, 283,999.95 and 56,216.01

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Solution

The fourth proportional to 189,365.85, 283,999.95 and 56,216.01 is: 84,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365.85 : 283,999.95 = 56,216.01 : x
  2. Step 2: Convert to fraction form
    189,365.85/283,999.95 = 56,216.01/x
  3. Step 3: Cross multiply
    189,365.85x = 283,999.95 × 56,216.01
  4. Step 4: Simplify right side
    189,365.85x = 15,965,344,029.20
  5. Step 5: Solve for x
    x = 15,965,344,029.20/189,365.85
  6. Step 6: Final answer
    x = 84,309.52

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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.