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Finding the Fourth Proportional to 264,011.87, 396,030.10 and 77,023.37

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Solution

The fourth proportional to 264,011.87, 396,030.10 and 77,023.37 is: 115,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,011.87 : 396,030.10 = 77,023.37 : x
  2. Step 2: Convert to fraction form
    264,011.87/396,030.10 = 77,023.37/x
  3. Step 3: Cross multiply
    264,011.87x = 396,030.10 × 77,023.37
  4. Step 4: Simplify right side
    264,011.87x = 30,503,570,943.29
  5. Step 5: Solve for x
    x = 30,503,570,943.29/264,011.87
  6. Step 6: Final answer
    x = 115,538.64

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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.