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Finding the Fourth Proportional to 182,955.80, 274,316.90 and 77,720.60

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Solution

The fourth proportional to 182,955.80, 274,316.90 and 77,720.60 is: 116,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,955.80 : 274,316.90 = 77,720.60 : x
  2. Step 2: Convert to fraction form
    182,955.80/274,316.90 = 77,720.60/x
  3. Step 3: Cross multiply
    182,955.80x = 274,316.90 × 77,720.60
  4. Step 4: Simplify right side
    182,955.80x = 21,320,074,058.14
  5. Step 5: Solve for x
    x = 21,320,074,058.14/182,955.80
  6. Step 6: Final answer
    x = 116,531.28

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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.