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Finding the Fourth Proportional to 229,216.10, 343,824.15 and 145,235.30

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Solution

The fourth proportional to 229,216.10, 343,824.15 and 145,235.30 is: 217,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,216.10 : 343,824.15 = 145,235.30 : x
  2. Step 2: Convert to fraction form
    229,216.10/343,824.15 = 145,235.30/x
  3. Step 3: Cross multiply
    229,216.10x = 343,824.15 × 145,235.30
  4. Step 4: Simplify right side
    229,216.10x = 49,935,403,572.50
  5. Step 5: Solve for x
    x = 49,935,403,572.50/229,216.10
  6. Step 6: Final answer
    x = 217,852.95

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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.