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Finding the Fourth Proportional to 229,143.08, 316,360.09 and 214,845.22

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Solution

The fourth proportional to 229,143.08, 316,360.09 and 214,845.22 is: 296,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,143.08 : 316,360.09 = 214,845.22 : x
  2. Step 2: Convert to fraction form
    229,143.08/316,360.09 = 214,845.22/x
  3. Step 3: Cross multiply
    229,143.08x = 316,360.09 × 214,845.22
  4. Step 4: Simplify right side
    229,143.08x = 67,968,453,186.72
  5. Step 5: Solve for x
    x = 67,968,453,186.72/229,143.08
  6. Step 6: Final answer
    x = 296,620.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.