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Finding the Fourth Proportional to 175,871.52, 263,804.92 and 42,751.40

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Solution

The fourth proportional to 175,871.52, 263,804.92 and 42,751.40 is: 64,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,871.52 : 263,804.92 = 42,751.40 : x
  2. Step 2: Convert to fraction form
    175,871.52/263,804.92 = 42,751.40/x
  3. Step 3: Cross multiply
    175,871.52x = 263,804.92 × 42,751.40
  4. Step 4: Simplify right side
    175,871.52x = 11,278,028,230.98
  5. Step 5: Solve for x
    x = 11,278,028,230.98/175,871.52
  6. Step 6: Final answer
    x = 64,126.52

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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.