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Finding the Fourth Proportional to 175,858.76, 263,784.36 and 42,739.76

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Solution

The fourth proportional to 175,858.76, 263,784.36 and 42,739.76 is: 64,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,858.76 : 263,784.36 = 42,739.76 : x
  2. Step 2: Convert to fraction form
    175,858.76/263,784.36 = 42,739.76/x
  3. Step 3: Cross multiply
    175,858.76x = 263,784.36 × 42,739.76
  4. Step 4: Simplify right side
    175,858.76x = 11,274,080,238.15
  5. Step 5: Solve for x
    x = 11,274,080,238.15/175,858.76
  6. Step 6: Final answer
    x = 64,108.72

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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.