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Finding the Fourth Proportional to 312,201.96, 430,838.54 and 176,237.09

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Solution

The fourth proportional to 312,201.96, 430,838.54 and 176,237.09 is: 243,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201.96 : 430,838.54 = 176,237.09 : x
  2. Step 2: Convert to fraction form
    312,201.96/430,838.54 = 176,237.09/x
  3. Step 3: Cross multiply
    312,201.96x = 430,838.54 × 176,237.09
  4. Step 4: Simplify right side
    312,201.96x = 75,929,730,549.45
  5. Step 5: Solve for x
    x = 75,929,730,549.45/312,201.96
  6. Step 6: Final answer
    x = 243,207.09

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