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Finding the Fourth Proportional to 125,693.82, 188,491.56 and 46,765.02

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Solution

The fourth proportional to 125,693.82, 188,491.56 and 46,765.02 is: 70,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,693.82 : 188,491.56 = 46,765.02 : x
  2. Step 2: Convert to fraction form
    125,693.82/188,491.56 = 46,765.02/x
  3. Step 3: Cross multiply
    125,693.82x = 188,491.56 × 46,765.02
  4. Step 4: Simplify right side
    125,693.82x = 8,814,811,573.23
  5. Step 5: Solve for x
    x = 8,814,811,573.23/125,693.82
  6. Step 6: Final answer
    x = 70,129.24

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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.