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Finding the Fourth Proportional to 270,639.90, 405,959.85 and 83,670.30

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Solution

The fourth proportional to 270,639.90, 405,959.85 and 83,670.30 is: 125,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,639.90 : 405,959.85 = 83,670.30 : x
  2. Step 2: Convert to fraction form
    270,639.90/405,959.85 = 83,670.30/x
  3. Step 3: Cross multiply
    270,639.90x = 405,959.85 × 83,670.30
  4. Step 4: Simplify right side
    270,639.90x = 33,966,782,437.46
  5. Step 5: Solve for x
    x = 33,966,782,437.46/270,639.90
  6. Step 6: Final answer
    x = 125,505.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.