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Finding the Fourth Proportional to 354,141.92, 531,316.51 and 114,251.20

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Solution

The fourth proportional to 354,141.92, 531,316.51 and 114,251.20 is: 171,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,141.92 : 531,316.51 = 114,251.20 : x
  2. Step 2: Convert to fraction form
    354,141.92/531,316.51 = 114,251.20/x
  3. Step 3: Cross multiply
    354,141.92x = 531,316.51 × 114,251.20
  4. Step 4: Simplify right side
    354,141.92x = 60,703,547,233.39
  5. Step 5: Solve for x
    x = 60,703,547,233.39/354,141.92
  6. Step 6: Final answer
    x = 171,410.23

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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.