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Finding the Fourth Proportional to 227,457.92, 341,184 and 102,711.68

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Solution

The fourth proportional to 227,457.92, 341,184 and 102,711.68 is: 154,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,457.92 : 341,184 = 102,711.68 : x
  2. Step 2: Convert to fraction form
    227,457.92/341,184 = 102,711.68/x
  3. Step 3: Cross multiply
    227,457.92x = 341,184 × 102,711.68
  4. Step 4: Simplify right side
    227,457.92x = 35,043,581,829.12
  5. Step 5: Solve for x
    x = 35,043,581,829.12/227,457.92
  6. Step 6: Final answer
    x = 154,066.22

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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.