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Finding the Fourth Proportional to 135,473.67, 186,953.64 and 75,048.23

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Solution

The fourth proportional to 135,473.67, 186,953.64 and 75,048.23 is: 103,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,473.67 : 186,953.64 = 75,048.23 : x
  2. Step 2: Convert to fraction form
    135,473.67/186,953.64 = 75,048.23/x
  3. Step 3: Cross multiply
    135,473.67x = 186,953.64 × 75,048.23
  4. Step 4: Simplify right side
    135,473.67x = 14,030,538,839.29
  5. Step 5: Solve for x
    x = 14,030,538,839.29/135,473.67
  6. Step 6: Final answer
    x = 103,566.54

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Why These Related Problems?

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