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Finding the Fourth Proportional to 177,669.20, 266,503.80 and 51,309.20

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Solution

The fourth proportional to 177,669.20, 266,503.80 and 51,309.20 is: 76,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,669.20 : 266,503.80 = 51,309.20 : x
  2. Step 2: Convert to fraction form
    177,669.20/266,503.80 = 51,309.20/x
  3. Step 3: Cross multiply
    177,669.20x = 266,503.80 × 51,309.20
  4. Step 4: Simplify right side
    177,669.20x = 13,674,096,774.96
  5. Step 5: Solve for x
    x = 13,674,096,774.96/177,669.20
  6. Step 6: Final answer
    x = 76,963.80

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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.