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Finding the Fourth Proportional to 189,694.71, 284,457.83 and 100,929.51

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Solution

The fourth proportional to 189,694.71, 284,457.83 and 100,929.51 is: 151,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,694.71 : 284,457.83 = 100,929.51 : x
  2. Step 2: Convert to fraction form
    189,694.71/284,457.83 = 100,929.51/x
  3. Step 3: Cross multiply
    189,694.71x = 284,457.83 × 100,929.51
  4. Step 4: Simplify right side
    189,694.71x = 28,710,188,892.92
  5. Step 5: Solve for x
    x = 28,710,188,892.92/189,694.71
  6. Step 6: Final answer
    x = 151,349.44

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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.