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Finding the Fourth Proportional to 229,270.20, 343,964.77 and 87,117.94

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Solution

The fourth proportional to 229,270.20, 343,964.77 and 87,117.94 is: 130,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,270.20 : 343,964.77 = 87,117.94 : x
  2. Step 2: Convert to fraction form
    229,270.20/343,964.77 = 87,117.94/x
  3. Step 3: Cross multiply
    229,270.20x = 343,964.77 × 87,117.94
  4. Step 4: Simplify right side
    229,270.20x = 29,965,501,684.75
  5. Step 5: Solve for x
    x = 29,965,501,684.75/229,270.20
  6. Step 6: Final answer
    x = 130,699.50

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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.