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Finding the Fourth Proportional to 229,311, 343,785.54 and 144,893.28

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Solution

The fourth proportional to 229,311, 343,785.54 and 144,893.28 is: 217,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311 : 343,785.54 = 144,893.28 : x
  2. Step 2: Convert to fraction form
    229,311/343,785.54 = 144,893.28/x
  3. Step 3: Cross multiply
    229,311x = 343,785.54 × 144,893.28
  4. Step 4: Simplify right side
    229,311x = 49,812,214,507.17
  5. Step 5: Solve for x
    x = 49,812,214,507.17/229,311
  6. Step 6: Final answer
    x = 217,225.58

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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.