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Finding the Fourth Proportional to 94,708.80, 141,771.60 and 77,796

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Solution

The fourth proportional to 94,708.80, 141,771.60 and 77,796 is: 116,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,708.80 : 141,771.60 = 77,796 : x
  2. Step 2: Convert to fraction form
    94,708.80/141,771.60 = 77,796/x
  3. Step 3: Cross multiply
    94,708.80x = 141,771.60 × 77,796
  4. Step 4: Simplify right side
    94,708.80x = 11,029,263,393.60
  5. Step 5: Solve for x
    x = 11,029,263,393.60/94,708.80
  6. Step 6: Final answer
    x = 116,454.47

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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.