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Finding the Fourth Proportional to 235,959.60, 353,923.20 and 76,033.20

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Solution

The fourth proportional to 235,959.60, 353,923.20 and 76,033.20 is: 114,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,959.60 : 353,923.20 = 76,033.20 : x
  2. Step 2: Convert to fraction form
    235,959.60/353,923.20 = 76,033.20/x
  3. Step 3: Cross multiply
    235,959.60x = 353,923.20 × 76,033.20
  4. Step 4: Simplify right side
    235,959.60x = 26,909,913,450.24
  5. Step 5: Solve for x
    x = 26,909,913,450.24/235,959.60
  6. Step 6: Final answer
    x = 114,044.58

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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.