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Finding the Fourth Proportional to 191,807.28, 264,694.02 and 106,929.78

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Solution

The fourth proportional to 191,807.28, 264,694.02 and 106,929.78 is: 147,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,807.28 : 264,694.02 = 106,929.78 : x
  2. Step 2: Convert to fraction form
    191,807.28/264,694.02 = 106,929.78/x
  3. Step 3: Cross multiply
    191,807.28x = 264,694.02 × 106,929.78
  4. Step 4: Simplify right side
    191,807.28x = 28,303,673,325.92
  5. Step 5: Solve for x
    x = 28,303,673,325.92/191,807.28
  6. Step 6: Final answer
    x = 147,563.08

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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.