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Finding the Fourth Proportional to 189,686.80, 261,775.38 and 109,114.36

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Solution

The fourth proportional to 189,686.80, 261,775.38 and 109,114.36 is: 150,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,686.80 : 261,775.38 = 109,114.36 : x
  2. Step 2: Convert to fraction form
    189,686.80/261,775.38 = 109,114.36/x
  3. Step 3: Cross multiply
    189,686.80x = 261,775.38 × 109,114.36
  4. Step 4: Simplify right side
    189,686.80x = 28,563,453,052.46
  5. Step 5: Solve for x
    x = 28,563,453,052.46/189,686.80
  6. Step 6: Final answer
    x = 150,582.19

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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.