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Finding the Fourth Proportional to 232,116, 347,634 and 225,730.80

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Solution

The fourth proportional to 232,116, 347,634 and 225,730.80 is: 338,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,116 : 347,634 = 225,730.80 : x
  2. Step 2: Convert to fraction form
    232,116/347,634 = 225,730.80/x
  3. Step 3: Cross multiply
    232,116x = 347,634 × 225,730.80
  4. Step 4: Simplify right side
    232,116x = 78,471,700,927.20
  5. Step 5: Solve for x
    x = 78,471,700,927.20/232,116
  6. Step 6: Final answer
    x = 338,071.05

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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.