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Finding the Fourth Proportional to 229,208.17, 343,811.94 and 87,053.17

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Solution

The fourth proportional to 229,208.17, 343,811.94 and 87,053.17 is: 130,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,208.17 : 343,811.94 = 87,053.17 : x
  2. Step 2: Convert to fraction form
    229,208.17/343,811.94 = 87,053.17/x
  3. Step 3: Cross multiply
    229,208.17x = 343,811.94 × 87,053.17
  4. Step 4: Simplify right side
    229,208.17x = 29,929,917,541.79
  5. Step 5: Solve for x
    x = 29,929,917,541.79/229,208.17
  6. Step 6: Final answer
    x = 130,579.63

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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.