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Finding the Fourth Proportional to 296,923.60, 445,342.20 and 86,539.60

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Solution

The fourth proportional to 296,923.60, 445,342.20 and 86,539.60 is: 129,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,923.60 : 445,342.20 = 86,539.60 : x
  2. Step 2: Convert to fraction form
    296,923.60/445,342.20 = 86,539.60/x
  3. Step 3: Cross multiply
    296,923.60x = 445,342.20 × 86,539.60
  4. Step 4: Simplify right side
    296,923.60x = 38,539,735,851.12
  5. Step 5: Solve for x
    x = 38,539,735,851.12/296,923.60
  6. Step 6: Final answer
    x = 129,796.81

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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.