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Finding the Fourth Proportional to 189,803.77, 261,916.72 and 109,218.29

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Solution

The fourth proportional to 189,803.77, 261,916.72 and 109,218.29 is: 150,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,803.77 : 261,916.72 = 109,218.29 : x
  2. Step 2: Convert to fraction form
    189,803.77/261,916.72 = 109,218.29/x
  3. Step 3: Cross multiply
    189,803.77x = 261,916.72 × 109,218.29
  4. Step 4: Simplify right side
    189,803.77x = 28,606,094,698.18
  5. Step 5: Solve for x
    x = 28,606,094,698.18/189,803.77
  6. Step 6: Final answer
    x = 150,714.05

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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.