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Finding the Fourth Proportional to 189,240.83, 283,539.90 and 114,203.29

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Solution

The fourth proportional to 189,240.83, 283,539.90 and 114,203.29 is: 171,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,240.83 : 283,539.90 = 114,203.29 : x
  2. Step 2: Convert to fraction form
    189,240.83/283,539.90 = 114,203.29/x
  3. Step 3: Cross multiply
    189,240.83x = 283,539.90 × 114,203.29
  4. Step 4: Simplify right side
    189,240.83x = 32,381,189,426.27
  5. Step 5: Solve for x
    x = 32,381,189,426.27/189,240.83
  6. Step 6: Final answer
    x = 171,111.01

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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.