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Finding the Fourth Proportional to 256,095.30, 384,458.85 and 161,325.30

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Solution

The fourth proportional to 256,095.30, 384,458.85 and 161,325.30 is: 242,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.30 : 384,458.85 = 161,325.30 : x
  2. Step 2: Convert to fraction form
    256,095.30/384,458.85 = 161,325.30/x
  3. Step 3: Cross multiply
    256,095.30x = 384,458.85 × 161,325.30
  4. Step 4: Simplify right side
    256,095.30x = 62,022,939,313.91
  5. Step 5: Solve for x
    x = 62,022,939,313.91/256,095.30
  6. Step 6: Final answer
    x = 242,186.95

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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.