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Finding the Fourth Proportional to 177,709.59, 266,669.67 and 65,468.70

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Solution

The fourth proportional to 177,709.59, 266,669.67 and 65,468.70 is: 98,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,709.59 : 266,669.67 = 65,468.70 : x
  2. Step 2: Convert to fraction form
    177,709.59/266,669.67 = 65,468.70/x
  3. Step 3: Cross multiply
    177,709.59x = 266,669.67 × 65,468.70
  4. Step 4: Simplify right side
    177,709.59x = 17,458,516,624.33
  5. Step 5: Solve for x
    x = 17,458,516,624.33/177,709.59
  6. Step 6: Final answer
    x = 98,241.84

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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.