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Finding the Fourth Proportional to 177,561.20, 266,341.80 and 174,645.20

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Solution

The fourth proportional to 177,561.20, 266,341.80 and 174,645.20 is: 261,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,561.20 : 266,341.80 = 174,645.20 : x
  2. Step 2: Convert to fraction form
    177,561.20/266,341.80 = 174,645.20/x
  3. Step 3: Cross multiply
    177,561.20x = 266,341.80 × 174,645.20
  4. Step 4: Simplify right side
    177,561.20x = 46,515,316,929.36
  5. Step 5: Solve for x
    x = 46,515,316,929.36/177,561.20
  6. Step 6: Final answer
    x = 261,967.80

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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.