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Finding the Fourth Proportional to 102,660, 141,670.80 and 55,556

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Solution

The fourth proportional to 102,660, 141,670.80 and 55,556 is: 76,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,660 : 141,670.80 = 55,556 : x
  2. Step 2: Convert to fraction form
    102,660/141,670.80 = 55,556/x
  3. Step 3: Cross multiply
    102,660x = 141,670.80 × 55,556
  4. Step 4: Simplify right side
    102,660x = 7,870,662,964.80
  5. Step 5: Solve for x
    x = 7,870,662,964.80/102,660
  6. Step 6: Final answer
    x = 76,667.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.