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Finding the Fourth Proportional to 189,854.52, 285,224.67 and 111,024.24

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Solution

The fourth proportional to 189,854.52, 285,224.67 and 111,024.24 is: 166,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,854.52 : 285,224.67 = 111,024.24 : x
  2. Step 2: Convert to fraction form
    189,854.52/285,224.67 = 111,024.24/x
  3. Step 3: Cross multiply
    189,854.52x = 285,224.67 × 111,024.24
  4. Step 4: Simplify right side
    189,854.52x = 31,666,852,216.00
  5. Step 5: Solve for x
    x = 31,666,852,216.00/189,854.52
  6. Step 6: Final answer
    x = 166,795.36

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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.