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Finding the Fourth Proportional to 127,761.60, 191,499.84 and 56,698.68

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Solution

The fourth proportional to 127,761.60, 191,499.84 and 56,698.68 is: 84,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,761.60 : 191,499.84 = 56,698.68 : x
  2. Step 2: Convert to fraction form
    127,761.60/191,499.84 = 56,698.68/x
  3. Step 3: Cross multiply
    127,761.60x = 191,499.84 × 56,698.68
  4. Step 4: Simplify right side
    127,761.60x = 10,857,788,148.21
  5. Step 5: Solve for x
    x = 10,857,788,148.21/127,761.60
  6. Step 6: Final answer
    x = 84,984.75

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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.