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Finding the Fourth Proportional to 176,827.83, 265,092.98 and 76,912.78

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Solution

The fourth proportional to 176,827.83, 265,092.98 and 76,912.78 is: 115,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,827.83 : 265,092.98 = 76,912.78 : x
  2. Step 2: Convert to fraction form
    176,827.83/265,092.98 = 76,912.78/x
  3. Step 3: Cross multiply
    176,827.83x = 265,092.98 × 76,912.78
  4. Step 4: Simplify right side
    176,827.83x = 20,389,038,050.28
  5. Step 5: Solve for x
    x = 20,389,038,050.28/176,827.83
  6. Step 6: Final answer
    x = 115,304.46

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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.