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Finding the Fourth Proportional to 189,092.99, 260,948.37 and 103,052.00

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Solution

The fourth proportional to 189,092.99, 260,948.37 and 103,052.00 is: 142,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.99 : 260,948.37 = 103,052.00 : x
  2. Step 2: Convert to fraction form
    189,092.99/260,948.37 = 103,052.00/x
  3. Step 3: Cross multiply
    189,092.99x = 260,948.37 × 103,052.00
  4. Step 4: Simplify right side
    189,092.99x = 26,891,250,120.50
  5. Step 5: Solve for x
    x = 26,891,250,120.50/189,092.99
  6. Step 6: Final answer
    x = 142,211.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.